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Finding the Fourth Proportional to 413,565.40, 620,348.10 and 376,823.80

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Solution

The fourth proportional to 413,565.40, 620,348.10 and 376,823.80 is: 565,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,565.40 : 620,348.10 = 376,823.80 : x
  2. Step 2: Convert to fraction form
    413,565.40/620,348.10 = 376,823.80/x
  3. Step 3: Cross multiply
    413,565.40x = 620,348.10 × 376,823.80
  4. Step 4: Simplify right side
    413,565.40x = 233,761,928,364.78
  5. Step 5: Solve for x
    x = 233,761,928,364.78/413,565.40
  6. Step 6: Final answer
    x = 565,235.70

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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.