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Finding the Fourth Proportional to 510,614.08, 766,034.87 and 155,655.75

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Solution

The fourth proportional to 510,614.08, 766,034.87 and 155,655.75 is: 233,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,614.08 : 766,034.87 = 155,655.75 : x
  2. Step 2: Convert to fraction form
    510,614.08/766,034.87 = 155,655.75/x
  3. Step 3: Cross multiply
    510,614.08x = 766,034.87 × 155,655.75
  4. Step 4: Simplify right side
    510,614.08x = 119,237,732,216.00
  5. Step 5: Solve for x
    x = 119,237,732,216.00/510,614.08
  6. Step 6: Final answer
    x = 233,518.30

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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.