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Finding the Fourth Proportional to 354,705.60, 532,058.40 and 284,721.60

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Solution

The fourth proportional to 354,705.60, 532,058.40 and 284,721.60 is: 427,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,705.60 : 532,058.40 = 284,721.60 : x
  2. Step 2: Convert to fraction form
    354,705.60/532,058.40 = 284,721.60/x
  3. Step 3: Cross multiply
    354,705.60x = 532,058.40 × 284,721.60
  4. Step 4: Simplify right side
    354,705.60x = 151,488,518,941.44
  5. Step 5: Solve for x
    x = 151,488,518,941.44/354,705.60
  6. Step 6: Final answer
    x = 427,082.40

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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.