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Finding the Fourth Proportional to 521,347.07, 782,056.14 and 166,387.85

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Solution

The fourth proportional to 521,347.07, 782,056.14 and 166,387.85 is: 249,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,347.07 : 782,056.14 = 166,387.85 : x
  2. Step 2: Convert to fraction form
    521,347.07/782,056.14 = 166,387.85/x
  3. Step 3: Cross multiply
    521,347.07x = 782,056.14 × 166,387.85
  4. Step 4: Simplify right side
    521,347.07x = 130,124,642,979.41
  5. Step 5: Solve for x
    x = 130,124,642,979.41/521,347.07
  6. Step 6: Final answer
    x = 249,593.12

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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.