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Finding the Fourth Proportional to 510,123.60, 765,155.88 and 194,612.40

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Solution

The fourth proportional to 510,123.60, 765,155.88 and 194,612.40 is: 291,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,123.60 : 765,155.88 = 194,612.40 : x
  2. Step 2: Convert to fraction form
    510,123.60/765,155.88 = 194,612.40/x
  3. Step 3: Cross multiply
    510,123.60x = 765,155.88 × 194,612.40
  4. Step 4: Simplify right side
    510,123.60x = 148,908,822,180.91
  5. Step 5: Solve for x
    x = 148,908,822,180.91/510,123.60
  6. Step 6: Final answer
    x = 291,907.34

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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.