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Finding the Fourth Proportional to 364,287.60, 502,719.12 and 203,152.88

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Solution

The fourth proportional to 364,287.60, 502,719.12 and 203,152.88 is: 280,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,287.60 : 502,719.12 = 203,152.88 : x
  2. Step 2: Convert to fraction form
    364,287.60/502,719.12 = 203,152.88/x
  3. Step 3: Cross multiply
    364,287.60x = 502,719.12 × 203,152.88
  4. Step 4: Simplify right side
    364,287.60x = 102,128,838,315.86
  5. Step 5: Solve for x
    x = 102,128,838,315.86/364,287.60
  6. Step 6: Final answer
    x = 280,352.22

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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.