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Finding the Fourth Proportional to 838,416, 1,157,101.56 and 475,937.76

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Solution

The fourth proportional to 838,416, 1,157,101.56 and 475,937.76 is: 656,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,416 : 1,157,101.56 = 475,937.76 : x
  2. Step 2: Convert to fraction form
    838,416/1,157,101.56 = 475,937.76/x
  3. Step 3: Cross multiply
    838,416x = 1,157,101.56 × 475,937.76
  4. Step 4: Simplify right side
    838,416x = 550,708,324,558.91
  5. Step 5: Solve for x
    x = 550,708,324,558.91/838,416
  6. Step 6: Final answer
    x = 656,843.77

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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.