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Finding the Fourth Proportional to 284,271.86, 392,295.22 and 156,947.45

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Solution

The fourth proportional to 284,271.86, 392,295.22 and 156,947.45 is: 216,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,271.86 : 392,295.22 = 156,947.45 : x
  2. Step 2: Convert to fraction form
    284,271.86/392,295.22 = 156,947.45/x
  3. Step 3: Cross multiply
    284,271.86x = 392,295.22 × 156,947.45
  4. Step 4: Simplify right side
    284,271.86x = 61,569,732,072.34
  5. Step 5: Solve for x
    x = 61,569,732,072.34/284,271.86
  6. Step 6: Final answer
    x = 216,587.50

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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.