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Finding the Fourth Proportional to 312,952.64, 431,867.04 and 178,808

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Solution

The fourth proportional to 312,952.64, 431,867.04 and 178,808 is: 246,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,952.64 : 431,867.04 = 178,808 : x
  2. Step 2: Convert to fraction form
    312,952.64/431,867.04 = 178,808/x
  3. Step 3: Cross multiply
    312,952.64x = 431,867.04 × 178,808
  4. Step 4: Simplify right side
    312,952.64x = 77,221,281,688.32
  5. Step 5: Solve for x
    x = 77,221,281,688.32/312,952.64
  6. Step 6: Final answer
    x = 246,750.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.