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Finding the Fourth Proportional to 339,386.52, 509,069 and 86,666.10

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Solution

The fourth proportional to 339,386.52, 509,069 and 86,666.10 is: 129,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,386.52 : 509,069 = 86,666.10 : x
  2. Step 2: Convert to fraction form
    339,386.52/509,069 = 86,666.10/x
  3. Step 3: Cross multiply
    339,386.52x = 509,069 × 86,666.10
  4. Step 4: Simplify right side
    339,386.52x = 44,119,024,860.90
  5. Step 5: Solve for x
    x = 44,119,024,860.90/339,386.52
  6. Step 6: Final answer
    x = 129,996.40

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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.