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Finding the Fourth Proportional to 498,145.96, 687,543.72 and 304,586.74

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Solution

The fourth proportional to 498,145.96, 687,543.72 and 304,586.74 is: 420,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,145.96 : 687,543.72 = 304,586.74 : x
  2. Step 2: Convert to fraction form
    498,145.96/687,543.72 = 304,586.74/x
  3. Step 3: Cross multiply
    498,145.96x = 687,543.72 × 304,586.74
  4. Step 4: Simplify right side
    498,145.96x = 209,416,700,282.27
  5. Step 5: Solve for x
    x = 209,416,700,282.27/498,145.96
  6. Step 6: Final answer
    x = 420,392.25

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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.