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Finding the Fourth Proportional to 390,079.30, 584,134.80 and 311,347.30

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Solution

The fourth proportional to 390,079.30, 584,134.80 and 311,347.30 is: 466,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,079.30 : 584,134.80 = 311,347.30 : x
  2. Step 2: Convert to fraction form
    390,079.30/584,134.80 = 311,347.30/x
  3. Step 3: Cross multiply
    390,079.30x = 584,134.80 × 311,347.30
  4. Step 4: Simplify right side
    390,079.30x = 181,868,792,816.04
  5. Step 5: Solve for x
    x = 181,868,792,816.04/390,079.30
  6. Step 6: Final answer
    x = 466,235.44

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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.