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Finding the Fourth Proportional to 657,473.20, 986,598.60 and 433,481.20

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Solution

The fourth proportional to 657,473.20, 986,598.60 and 433,481.20 is: 650,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,473.20 : 986,598.60 = 433,481.20 : x
  2. Step 2: Convert to fraction form
    657,473.20/986,598.60 = 433,481.20/x
  3. Step 3: Cross multiply
    657,473.20x = 986,598.60 × 433,481.20
  4. Step 4: Simplify right side
    657,473.20x = 427,671,945,046.32
  5. Step 5: Solve for x
    x = 427,671,945,046.32/657,473.20
  6. Step 6: Final answer
    x = 650,478.14

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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.