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Finding the Fourth Proportional to 488,313, 732,474.06 and 172,823.40

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Solution

The fourth proportional to 488,313, 732,474.06 and 172,823.40 is: 259,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,313 : 732,474.06 = 172,823.40 : x
  2. Step 2: Convert to fraction form
    488,313/732,474.06 = 172,823.40/x
  3. Step 3: Cross multiply
    488,313x = 732,474.06 × 172,823.40
  4. Step 4: Simplify right side
    488,313x = 126,588,657,461.00
  5. Step 5: Solve for x
    x = 126,588,657,461.00/488,313
  6. Step 6: Final answer
    x = 259,236.71

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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.