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Finding the Fourth Proportional to 242,642.40, 363,963.60 and 124,274.40

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Solution

The fourth proportional to 242,642.40, 363,963.60 and 124,274.40 is: 186,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,642.40 : 363,963.60 = 124,274.40 : x
  2. Step 2: Convert to fraction form
    242,642.40/363,963.60 = 124,274.40/x
  3. Step 3: Cross multiply
    242,642.40x = 363,963.60 × 124,274.40
  4. Step 4: Simplify right side
    242,642.40x = 45,231,358,011.84
  5. Step 5: Solve for x
    x = 45,231,358,011.84/242,642.40
  6. Step 6: Final answer
    x = 186,411.60

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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.