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Finding the Fourth Proportional to 202,478, 304,372.80 and 187,868.88

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Solution

The fourth proportional to 202,478, 304,372.80 and 187,868.88 is: 282,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,478 : 304,372.80 = 187,868.88 : x
  2. Step 2: Convert to fraction form
    202,478/304,372.80 = 187,868.88/x
  3. Step 3: Cross multiply
    202,478x = 304,372.80 × 187,868.88
  4. Step 4: Simplify right side
    202,478x = 57,182,177,038.46
  5. Step 5: Solve for x
    x = 57,182,177,038.46/202,478
  6. Step 6: Final answer
    x = 282,411.80

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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.