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Finding the Fourth Proportional to 547,038.18, 820,639.08 and 191,989.80

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Solution

The fourth proportional to 547,038.18, 820,639.08 and 191,989.80 is: 288,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,038.18 : 820,639.08 = 191,989.80 : x
  2. Step 2: Convert to fraction form
    547,038.18/820,639.08 = 191,989.80/x
  3. Step 3: Cross multiply
    547,038.18x = 820,639.08 × 191,989.80
  4. Step 4: Simplify right side
    547,038.18x = 157,554,332,841.38
  5. Step 5: Solve for x
    x = 157,554,332,841.38/547,038.18
  6. Step 6: Final answer
    x = 288,013.41

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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.