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Finding the Fourth Proportional to 509,995.90, 703,818.16 and 295,094.40

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Solution

The fourth proportional to 509,995.90, 703,818.16 and 295,094.40 is: 407,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,995.90 : 703,818.16 = 295,094.40 : x
  2. Step 2: Convert to fraction form
    509,995.90/703,818.16 = 295,094.40/x
  3. Step 3: Cross multiply
    509,995.90x = 703,818.16 × 295,094.40
  4. Step 4: Simplify right side
    509,995.90x = 207,692,797,634.30
  5. Step 5: Solve for x
    x = 207,692,797,634.30/509,995.90
  6. Step 6: Final answer
    x = 407,244.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.