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Finding the Fourth Proportional to 390,117.64, 585,116.68 and 123,843.64

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Solution

The fourth proportional to 390,117.64, 585,116.68 and 123,843.64 is: 185,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,117.64 : 585,116.68 = 123,843.64 : x
  2. Step 2: Convert to fraction form
    390,117.64/585,116.68 = 123,843.64/x
  3. Step 3: Cross multiply
    390,117.64x = 585,116.68 × 123,843.64
  4. Step 4: Simplify right side
    390,117.64x = 72,462,979,475.92
  5. Step 5: Solve for x
    x = 72,462,979,475.92/390,117.64
  6. Step 6: Final answer
    x = 185,746.48

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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.