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Finding the Fourth Proportional to 510,823.56, 766,348.02 and 155,865

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Solution

The fourth proportional to 510,823.56, 766,348.02 and 155,865 is: 233,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,823.56 : 766,348.02 = 155,865 : x
  2. Step 2: Convert to fraction form
    510,823.56/766,348.02 = 155,865/x
  3. Step 3: Cross multiply
    510,823.56x = 766,348.02 × 155,865
  4. Step 4: Simplify right side
    510,823.56x = 119,446,834,137.30
  5. Step 5: Solve for x
    x = 119,446,834,137.30/510,823.56
  6. Step 6: Final answer
    x = 233,831.88

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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.