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Finding the Fourth Proportional to 457,339.38, 685,260.68 and 276,877.86

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Solution

The fourth proportional to 457,339.38, 685,260.68 and 276,877.86 is: 414,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,339.38 : 685,260.68 = 276,877.86 : x
  2. Step 2: Convert to fraction form
    457,339.38/685,260.68 = 276,877.86/x
  3. Step 3: Cross multiply
    457,339.38x = 685,260.68 × 276,877.86
  4. Step 4: Simplify right side
    457,339.38x = 189,733,506,666.43
  5. Step 5: Solve for x
    x = 189,733,506,666.43/457,339.38
  6. Step 6: Final answer
    x = 414,863.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.