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Finding the Fourth Proportional to 390,822.30, 586,233.45 and 233,228.70

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Solution

The fourth proportional to 390,822.30, 586,233.45 and 233,228.70 is: 349,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,822.30 : 586,233.45 = 233,228.70 : x
  2. Step 2: Convert to fraction form
    390,822.30/586,233.45 = 233,228.70/x
  3. Step 3: Cross multiply
    390,822.30x = 586,233.45 × 233,228.70
  4. Step 4: Simplify right side
    390,822.30x = 136,726,465,440.02
  5. Step 5: Solve for x
    x = 136,726,465,440.02/390,822.30
  6. Step 6: Final answer
    x = 349,843.05

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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.