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Finding the Fourth Proportional to 716,428.86, 988,813.15 and 410,710.53

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Solution

The fourth proportional to 716,428.86, 988,813.15 and 410,710.53 is: 566,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,428.86 : 988,813.15 = 410,710.53 : x
  2. Step 2: Convert to fraction form
    716,428.86/988,813.15 = 410,710.53/x
  3. Step 3: Cross multiply
    716,428.86x = 988,813.15 × 410,710.53
  4. Step 4: Simplify right side
    716,428.86x = 406,115,972,907.47
  5. Step 5: Solve for x
    x = 406,115,972,907.47/716,428.86
  6. Step 6: Final answer
    x = 566,861.55

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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.