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Finding the Fourth Proportional to 539,902, 745,064.82 and 313,562.08

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Solution

The fourth proportional to 539,902, 745,064.82 and 313,562.08 is: 432,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,902 : 745,064.82 = 313,562.08 : x
  2. Step 2: Convert to fraction form
    539,902/745,064.82 = 313,562.08/x
  3. Step 3: Cross multiply
    539,902x = 745,064.82 × 313,562.08
  4. Step 4: Simplify right side
    539,902x = 233,624,074,694.03
  5. Step 5: Solve for x
    x = 233,624,074,694.03/539,902
  6. Step 6: Final answer
    x = 432,715.71

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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.