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Finding the Fourth Proportional to 340,320.30, 510,553.17 and 103,681.86

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Solution

The fourth proportional to 340,320.30, 510,553.17 and 103,681.86 is: 155,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,320.30 : 510,553.17 = 103,681.86 : x
  2. Step 2: Convert to fraction form
    340,320.30/510,553.17 = 103,681.86/x
  3. Step 3: Cross multiply
    340,320.30x = 510,553.17 × 103,681.86
  4. Step 4: Simplify right side
    340,320.30x = 52,935,102,294.50
  5. Step 5: Solve for x
    x = 52,935,102,294.50/340,320.30
  6. Step 6: Final answer
    x = 155,544.94

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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.