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Finding the Fourth Proportional to 657,972.40, 986,353.80 and 657,569.20

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Solution

The fourth proportional to 657,972.40, 986,353.80 and 657,569.20 is: 985,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,972.40 : 986,353.80 = 657,569.20 : x
  2. Step 2: Convert to fraction form
    657,972.40/986,353.80 = 657,569.20/x
  3. Step 3: Cross multiply
    657,972.40x = 986,353.80 × 657,569.20
  4. Step 4: Simplify right side
    657,972.40x = 648,595,879,182.96
  5. Step 5: Solve for x
    x = 648,595,879,182.96/657,972.40
  6. Step 6: Final answer
    x = 985,749.37

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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.