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Finding the Fourth Proportional to 586,580.59, 809,493.51 and 331,931.71

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Solution

The fourth proportional to 586,580.59, 809,493.51 and 331,931.71 is: 458,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,580.59 : 809,493.51 = 331,931.71 : x
  2. Step 2: Convert to fraction form
    586,580.59/809,493.51 = 331,931.71/x
  3. Step 3: Cross multiply
    586,580.59x = 809,493.51 × 331,931.71
  4. Step 4: Simplify right side
    586,580.59x = 268,696,565,008.20
  5. Step 5: Solve for x
    x = 268,696,565,008.20/586,580.59
  6. Step 6: Final answer
    x = 458,072.72

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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.