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Finding the Fourth Proportional to 657,130.60, 984,966.90 and 257,638.60

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Solution

The fourth proportional to 657,130.60, 984,966.90 and 257,638.60 is: 386,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,130.60 : 984,966.90 = 257,638.60 : x
  2. Step 2: Convert to fraction form
    657,130.60/984,966.90 = 257,638.60/x
  3. Step 3: Cross multiply
    657,130.60x = 984,966.90 × 257,638.60
  4. Step 4: Simplify right side
    657,130.60x = 253,765,493,162.34
  5. Step 5: Solve for x
    x = 253,765,493,162.34/657,130.60
  6. Step 6: Final answer
    x = 386,172.08

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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.