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Finding the Fourth Proportional to 426,389.52, 588,445.92 and 282,902.88

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Solution

The fourth proportional to 426,389.52, 588,445.92 and 282,902.88 is: 390,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,389.52 : 588,445.92 = 282,902.88 : x
  2. Step 2: Convert to fraction form
    426,389.52/588,445.92 = 282,902.88/x
  3. Step 3: Cross multiply
    426,389.52x = 588,445.92 × 282,902.88
  4. Step 4: Simplify right side
    426,389.52x = 166,473,045,492.25
  5. Step 5: Solve for x
    x = 166,473,045,492.25/426,389.52
  6. Step 6: Final answer
    x = 390,424.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.