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Finding the Fourth Proportional to 390,838.92, 586,350.78 and 311,178.12

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Solution

The fourth proportional to 390,838.92, 586,350.78 and 311,178.12 is: 466,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,838.92 : 586,350.78 = 311,178.12 : x
  2. Step 2: Convert to fraction form
    390,838.92/586,350.78 = 311,178.12/x
  3. Step 3: Cross multiply
    390,838.92x = 586,350.78 × 311,178.12
  4. Step 4: Simplify right side
    390,838.92x = 182,459,533,380.93
  5. Step 5: Solve for x
    x = 182,459,533,380.93/390,838.92
  6. Step 6: Final answer
    x = 466,840.75

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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.