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Finding the Fourth Proportional to 310,434.72, 428,060.88 and 209,657.76

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Solution

The fourth proportional to 310,434.72, 428,060.88 and 209,657.76 is: 289,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,434.72 : 428,060.88 = 209,657.76 : x
  2. Step 2: Convert to fraction form
    310,434.72/428,060.88 = 209,657.76/x
  3. Step 3: Cross multiply
    310,434.72x = 428,060.88 × 209,657.76
  4. Step 4: Simplify right side
    310,434.72x = 89,746,285,244.43
  5. Step 5: Solve for x
    x = 89,746,285,244.43/310,434.72
  6. Step 6: Final answer
    x = 289,098.74

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1.5x scale

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.