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Finding the Fourth Proportional to 564,862.04, 780,015.94 and 421,372.98

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Solution

The fourth proportional to 564,862.04, 780,015.94 and 421,372.98 is: 581,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,862.04 : 780,015.94 = 421,372.98 : x
  2. Step 2: Convert to fraction form
    564,862.04/780,015.94 = 421,372.98/x
  3. Step 3: Cross multiply
    564,862.04x = 780,015.94 × 421,372.98
  4. Step 4: Simplify right side
    564,862.04x = 328,677,641,085.30
  5. Step 5: Solve for x
    x = 328,677,641,085.30/564,862.04
  6. Step 6: Final answer
    x = 581,872.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.