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Finding the Fourth Proportional to 472,006.40, 708,412.80 and 191,724.80

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Solution

The fourth proportional to 472,006.40, 708,412.80 and 191,724.80 is: 287,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,006.40 : 708,412.80 = 191,724.80 : x
  2. Step 2: Convert to fraction form
    472,006.40/708,412.80 = 191,724.80/x
  3. Step 3: Cross multiply
    472,006.40x = 708,412.80 × 191,724.80
  4. Step 4: Simplify right side
    472,006.40x = 135,820,302,397.44
  5. Step 5: Solve for x
    x = 135,820,302,397.44/472,006.40
  6. Step 6: Final answer
    x = 287,750.98

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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.