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Finding the Fourth Proportional to 523,608, 785,412 and 129,624

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Solution

The fourth proportional to 523,608, 785,412 and 129,624 is: 194,436

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,608 : 785,412 = 129,624 : x
  2. Step 2: Convert to fraction form
    523,608/785,412 = 129,624/x
  3. Step 3: Cross multiply
    523,608x = 785,412 × 129,624
  4. Step 4: Simplify right side
    523,608x = 101,808,245,088
  5. Step 5: Solve for x
    x = 101,808,245,088/523,608
  6. Step 6: Final answer
    x = 194,436

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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.