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Finding the Fourth Proportional to 452,461.75, 678,780.10 and 171,957.13

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Solution

The fourth proportional to 452,461.75, 678,780.10 and 171,957.13 is: 257,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,461.75 : 678,780.10 = 171,957.13 : x
  2. Step 2: Convert to fraction form
    452,461.75/678,780.10 = 171,957.13/x
  3. Step 3: Cross multiply
    452,461.75x = 678,780.10 × 171,957.13
  4. Step 4: Simplify right side
    452,461.75x = 116,721,077,897.11
  5. Step 5: Solve for x
    x = 116,721,077,897.11/452,461.75
  6. Step 6: Final answer
    x = 257,968.94

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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.