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Finding the Fourth Proportional to 306,713.10, 423,253.71 and 172,551.18

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Solution

The fourth proportional to 306,713.10, 423,253.71 and 172,551.18 is: 238,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,713.10 : 423,253.71 = 172,551.18 : x
  2. Step 2: Convert to fraction form
    306,713.10/423,253.71 = 172,551.18/x
  3. Step 3: Cross multiply
    306,713.10x = 423,253.71 × 172,551.18
  4. Step 4: Simplify right side
    306,713.10x = 73,032,927,099.88
  5. Step 5: Solve for x
    x = 73,032,927,099.88/306,713.10
  6. Step 6: Final answer
    x = 238,114.80

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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.