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Finding the Fourth Proportional to 418,516.72, 577,838.25 and 280,901.98

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Solution

The fourth proportional to 418,516.72, 577,838.25 and 280,901.98 is: 387,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,516.72 : 577,838.25 = 280,901.98 : x
  2. Step 2: Convert to fraction form
    418,516.72/577,838.25 = 280,901.98/x
  3. Step 3: Cross multiply
    418,516.72x = 577,838.25 × 280,901.98
  4. Step 4: Simplify right side
    418,516.72x = 162,315,908,544.74
  5. Step 5: Solve for x
    x = 162,315,908,544.74/418,516.72
  6. Step 6: Final answer
    x = 387,836.14

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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.