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Finding the Fourth Proportional to 390,039.32, 584,992.08 and 123,740.48

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Solution

The fourth proportional to 390,039.32, 584,992.08 and 123,740.48 is: 185,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,039.32 : 584,992.08 = 123,740.48 : x
  2. Step 2: Convert to fraction form
    390,039.32/584,992.08 = 123,740.48/x
  3. Step 3: Cross multiply
    390,039.32x = 584,992.08 × 123,740.48
  4. Step 4: Simplify right side
    390,039.32x = 72,387,200,775.40
  5. Step 5: Solve for x
    x = 72,387,200,775.40/390,039.32
  6. Step 6: Final answer
    x = 185,589.50

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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.