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Finding the Fourth Proportional to 429,126.84, 643,690.80 and 148,644.06

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Solution

The fourth proportional to 429,126.84, 643,690.80 and 148,644.06 is: 222,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,126.84 : 643,690.80 = 148,644.06 : x
  2. Step 2: Convert to fraction form
    429,126.84/643,690.80 = 148,644.06/x
  3. Step 3: Cross multiply
    429,126.84x = 643,690.80 × 148,644.06
  4. Step 4: Simplify right side
    429,126.84x = 95,680,813,896.65
  5. Step 5: Solve for x
    x = 95,680,813,896.65/429,126.84
  6. Step 6: Final answer
    x = 222,966.28

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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.