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Finding the Fourth Proportional to 390,425.80, 585,638.70 and 257,456.20

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Solution

The fourth proportional to 390,425.80, 585,638.70 and 257,456.20 is: 386,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,425.80 : 585,638.70 = 257,456.20 : x
  2. Step 2: Convert to fraction form
    390,425.80/585,638.70 = 257,456.20/x
  3. Step 3: Cross multiply
    390,425.80x = 585,638.70 × 257,456.20
  4. Step 4: Simplify right side
    390,425.80x = 150,776,314,274.94
  5. Step 5: Solve for x
    x = 150,776,314,274.94/390,425.80
  6. Step 6: Final answer
    x = 386,184.30

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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.