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Finding the Fourth Proportional to 458,963.04, 688,207.02 and 206,025.72

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Solution

The fourth proportional to 458,963.04, 688,207.02 and 206,025.72 is: 308,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,963.04 : 688,207.02 = 206,025.72 : x
  2. Step 2: Convert to fraction form
    458,963.04/688,207.02 = 206,025.72/x
  3. Step 3: Cross multiply
    458,963.04x = 688,207.02 × 206,025.72
  4. Step 4: Simplify right side
    458,963.04x = 141,788,346,804.55
  5. Step 5: Solve for x
    x = 141,788,346,804.55/458,963.04
  6. Step 6: Final answer
    x = 308,931.95

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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.