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Finding the Fourth Proportional to 390,862.80, 586,294.20 and 233,269.20

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Solution

The fourth proportional to 390,862.80, 586,294.20 and 233,269.20 is: 349,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,862.80 : 586,294.20 = 233,269.20 : x
  2. Step 2: Convert to fraction form
    390,862.80/586,294.20 = 233,269.20/x
  3. Step 3: Cross multiply
    390,862.80x = 586,294.20 × 233,269.20
  4. Step 4: Simplify right side
    390,862.80x = 136,764,378,998.64
  5. Step 5: Solve for x
    x = 136,764,378,998.64/390,862.80
  6. Step 6: Final answer
    x = 349,903.80

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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.