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Finding the Fourth Proportional to 390,103.80, 584,171.55 and 311,371.80

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Solution

The fourth proportional to 390,103.80, 584,171.55 and 311,371.80 is: 466,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,103.80 : 584,171.55 = 311,371.80 : x
  2. Step 2: Convert to fraction form
    390,103.80/584,171.55 = 311,371.80/x
  3. Step 3: Cross multiply
    390,103.80x = 584,171.55 × 311,371.80
  4. Step 4: Simplify right side
    390,103.80x = 181,894,547,032.29
  5. Step 5: Solve for x
    x = 181,894,547,032.29/390,103.80
  6. Step 6: Final answer
    x = 466,272.17

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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.