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Finding the Fourth Proportional to 542,465.40, 813,827.70 and 261,751.80

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Solution

The fourth proportional to 542,465.40, 813,827.70 and 261,751.80 is: 392,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,465.40 : 813,827.70 = 261,751.80 : x
  2. Step 2: Convert to fraction form
    542,465.40/813,827.70 = 261,751.80/x
  3. Step 3: Cross multiply
    542,465.40x = 813,827.70 × 261,751.80
  4. Step 4: Simplify right side
    542,465.40x = 213,020,865,364.86
  5. Step 5: Solve for x
    x = 213,020,865,364.86/542,465.40
  6. Step 6: Final answer
    x = 392,690.23

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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.