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Finding the Fourth Proportional to 564,860.04, 780,013.17 and 421,370.97

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Solution

The fourth proportional to 564,860.04, 780,013.17 and 421,370.97 is: 581,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,860.04 : 780,013.17 = 421,370.97 : x
  2. Step 2: Convert to fraction form
    564,860.04/780,013.17 = 421,370.97/x
  3. Step 3: Cross multiply
    564,860.04x = 780,013.17 × 421,370.97
  4. Step 4: Simplify right side
    564,860.04x = 328,674,906,055.68
  5. Step 5: Solve for x
    x = 328,674,906,055.68/564,860.04
  6. Step 6: Final answer
    x = 581,869.64

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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.