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Finding the Fourth Proportional to 314,928,902.70, 472,393,354.05 and 288,144,276.30

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Solution

The fourth proportional to 314,928,902.70, 472,393,354.05 and 288,144,276.30 is: 432,216,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,902.70 : 472,393,354.05 = 288,144,276.30 : x
  2. Step 2: Convert to fraction form
    314,928,902.70/472,393,354.05 = 288,144,276.30/x
  3. Step 3: Cross multiply
    314,928,902.70x = 472,393,354.05 × 288,144,276.30
  4. Step 4: Simplify right side
    314,928,902.70x = 136,117,441,131,666,928
  5. Step 5: Solve for x
    x = 136,117,441,131,666,928/314,928,902.70
  6. Step 6: Final answer
    x = 432,216,414.45

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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.