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Finding the Fourth Proportional to 537,719.60, 805,691.84 and 312,447.66

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Solution

The fourth proportional to 537,719.60, 805,691.84 and 312,447.66 is: 468,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,719.60 : 805,691.84 = 312,447.66 : x
  2. Step 2: Convert to fraction form
    537,719.60/805,691.84 = 312,447.66/x
  3. Step 3: Cross multiply
    537,719.60x = 805,691.84 × 312,447.66
  4. Step 4: Simplify right side
    537,719.60x = 251,736,528,526.86
  5. Step 5: Solve for x
    x = 251,736,528,526.86/537,719.60
  6. Step 6: Final answer
    x = 468,155.77

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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.