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Finding the Fourth Proportional to 657,913.40, 987,330.90 and 421,830.20

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Solution

The fourth proportional to 657,913.40, 987,330.90 and 421,830.20 is: 633,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,913.40 : 987,330.90 = 421,830.20 : x
  2. Step 2: Convert to fraction form
    657,913.40/987,330.90 = 421,830.20/x
  3. Step 3: Cross multiply
    657,913.40x = 987,330.90 × 421,830.20
  4. Step 4: Simplify right side
    657,913.40x = 416,485,991,013.18
  5. Step 5: Solve for x
    x = 416,485,991,013.18/657,913.40
  6. Step 6: Final answer
    x = 633,040.75

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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.