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Finding the Fourth Proportional to 242,356.20, 334,440.74 and 138,916.24

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Solution

The fourth proportional to 242,356.20, 334,440.74 and 138,916.24 is: 191,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,356.20 : 334,440.74 = 138,916.24 : x
  2. Step 2: Convert to fraction form
    242,356.20/334,440.74 = 138,916.24/x
  3. Step 3: Cross multiply
    242,356.20x = 334,440.74 × 138,916.24
  4. Step 4: Simplify right side
    242,356.20x = 46,459,250,103.62
  5. Step 5: Solve for x
    x = 46,459,250,103.62/242,356.20
  6. Step 6: Final answer
    x = 191,698.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.