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Finding the Fourth Proportional to 671,418, 1,007,225.36 and 198,041.76

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Solution

The fourth proportional to 671,418, 1,007,225.36 and 198,041.76 is: 297,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,418 : 1,007,225.36 = 198,041.76 : x
  2. Step 2: Convert to fraction form
    671,418/1,007,225.36 = 198,041.76/x
  3. Step 3: Cross multiply
    671,418x = 1,007,225.36 × 198,041.76
  4. Step 4: Simplify right side
    671,418x = 199,472,683,011.03
  5. Step 5: Solve for x
    x = 199,472,683,011.03/671,418
  6. Step 6: Final answer
    x = 297,091.65

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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.