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Finding the Fourth Proportional to 418,099.05, 577,153.35 and 282,316.86

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Solution

The fourth proportional to 418,099.05, 577,153.35 and 282,316.86 is: 389,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,099.05 : 577,153.35 = 282,316.86 : x
  2. Step 2: Convert to fraction form
    418,099.05/577,153.35 = 282,316.86/x
  3. Step 3: Cross multiply
    418,099.05x = 577,153.35 × 282,316.86
  4. Step 4: Simplify right side
    418,099.05x = 162,940,121,510.48
  5. Step 5: Solve for x
    x = 162,940,121,510.48/418,099.05
  6. Step 6: Final answer
    x = 389,716.56

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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.