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Finding the Fourth Proportional to 418,769,123.70, 628,153,685.55 and 235,103,114.10

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Solution

The fourth proportional to 418,769,123.70, 628,153,685.55 and 235,103,114.10 is: 352,654,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,769,123.70 : 628,153,685.55 = 235,103,114.10 : x
  2. Step 2: Convert to fraction form
    418,769,123.70/628,153,685.55 = 235,103,114.10/x
  3. Step 3: Cross multiply
    418,769,123.70x = 628,153,685.55 × 235,103,114.10
  4. Step 4: Simplify right side
    418,769,123.70x = 147,680,887,606,197,152
  5. Step 5: Solve for x
    x = 147,680,887,606,197,152/418,769,123.70
  6. Step 6: Final answer
    x = 352,654,671.15

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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.