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Finding the Fourth Proportional to 382,648.40, 573,972.60 and 242,565.20

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Solution

The fourth proportional to 382,648.40, 573,972.60 and 242,565.20 is: 363,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,648.40 : 573,972.60 = 242,565.20 : x
  2. Step 2: Convert to fraction form
    382,648.40/573,972.60 = 242,565.20/x
  3. Step 3: Cross multiply
    382,648.40x = 573,972.60 × 242,565.20
  4. Step 4: Simplify right side
    382,648.40x = 139,225,778,513.52
  5. Step 5: Solve for x
    x = 139,225,778,513.52/382,648.40
  6. Step 6: Final answer
    x = 363,847.80

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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.