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Finding the Fourth Proportional to 314,928,005.20, 472,392,007.80 and 84,920,340.40

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Solution

The fourth proportional to 314,928,005.20, 472,392,007.80 and 84,920,340.40 is: 127,380,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,005.20 : 472,392,007.80 = 84,920,340.40 : x
  2. Step 2: Convert to fraction form
    314,928,005.20/472,392,007.80 = 84,920,340.40/x
  3. Step 3: Cross multiply
    314,928,005.20x = 472,392,007.80 × 84,920,340.40
  4. Step 4: Simplify right side
    314,928,005.20x = 40,115,690,104,615,456
  5. Step 5: Solve for x
    x = 40,115,690,104,615,456/314,928,005.20
  6. Step 6: Final answer
    x = 127,380,510.60

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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.