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Finding the Fourth Proportional to 852,984,007.90, 1,279,476,011.85 and 698,015,812.30

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Solution

The fourth proportional to 852,984,007.90, 1,279,476,011.85 and 698,015,812.30 is: 1,047,023,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,984,007.90 : 1,279,476,011.85 = 698,015,812.30 : x
  2. Step 2: Convert to fraction form
    852,984,007.90/1,279,476,011.85 = 698,015,812.30/x
  3. Step 3: Cross multiply
    852,984,007.90x = 1,279,476,011.85 × 698,015,812.30
  4. Step 4: Simplify right side
    852,984,007.90x = 893,094,487,729,842,048
  5. Step 5: Solve for x
    x = 893,094,487,729,842,048/852,984,007.90
  6. Step 6: Final answer
    x = 1,047,023,718.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.