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Finding the Fourth Proportional to 400,830.40, 600,079.20 and 242,977.60

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Solution

The fourth proportional to 400,830.40, 600,079.20 and 242,977.60 is: 363,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,830.40 : 600,079.20 = 242,977.60 : x
  2. Step 2: Convert to fraction form
    400,830.40/600,079.20 = 242,977.60/x
  3. Step 3: Cross multiply
    400,830.40x = 600,079.20 × 242,977.60
  4. Step 4: Simplify right side
    400,830.40x = 145,805,803,825.92
  5. Step 5: Solve for x
    x = 145,805,803,825.92/400,830.40
  6. Step 6: Final answer
    x = 363,759.35

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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.