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Finding the Fourth Proportional to 390,070.30, 584,121.30 and 311,338.30

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Solution

The fourth proportional to 390,070.30, 584,121.30 and 311,338.30 is: 466,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,070.30 : 584,121.30 = 311,338.30 : x
  2. Step 2: Convert to fraction form
    390,070.30/584,121.30 = 311,338.30/x
  3. Step 3: Cross multiply
    390,070.30x = 584,121.30 × 311,338.30
  4. Step 4: Simplify right side
    390,070.30x = 181,859,332,535.79
  5. Step 5: Solve for x
    x = 181,859,332,535.79/390,070.30
  6. Step 6: Final answer
    x = 466,221.94

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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.