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Finding the Fourth Proportional to 520,853.76, 781,280.64 and 188,352

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Solution

The fourth proportional to 520,853.76, 781,280.64 and 188,352 is: 282,528

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,853.76 : 781,280.64 = 188,352 : x
  2. Step 2: Convert to fraction form
    520,853.76/781,280.64 = 188,352/x
  3. Step 3: Cross multiply
    520,853.76x = 781,280.64 × 188,352
  4. Step 4: Simplify right side
    520,853.76x = 147,155,771,105.28
  5. Step 5: Solve for x
    x = 147,155,771,105.28/520,853.76
  6. Step 6: Final answer
    x = 282,528

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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.