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Finding the Fourth Proportional to 656,852.80, 985,538.40 and 257,425.60

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Solution

The fourth proportional to 656,852.80, 985,538.40 and 257,425.60 is: 386,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,852.80 : 985,538.40 = 257,425.60 : x
  2. Step 2: Convert to fraction form
    656,852.80/985,538.40 = 257,425.60/x
  3. Step 3: Cross multiply
    656,852.80x = 985,538.40 × 257,425.60
  4. Step 4: Simplify right side
    656,852.80x = 253,702,813,943.04
  5. Step 5: Solve for x
    x = 253,702,813,943.04/656,852.80
  6. Step 6: Final answer
    x = 386,239.98

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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.