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Finding the Fourth Proportional to 633,543.75, 874,312.13 and 347,063.76

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Solution

The fourth proportional to 633,543.75, 874,312.13 and 347,063.76 is: 478,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,543.75 : 874,312.13 = 347,063.76 : x
  2. Step 2: Convert to fraction form
    633,543.75/874,312.13 = 347,063.76/x
  3. Step 3: Cross multiply
    633,543.75x = 874,312.13 × 347,063.76
  4. Step 4: Simplify right side
    633,543.75x = 303,442,055,251.41
  5. Step 5: Solve for x
    x = 303,442,055,251.41/633,543.75
  6. Step 6: Final answer
    x = 478,959.91

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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.