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Finding the Fourth Proportional to 284,756.12, 392,947.74 and 157,424.12

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Solution

The fourth proportional to 284,756.12, 392,947.74 and 157,424.12 is: 217,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,756.12 : 392,947.74 = 157,424.12 : x
  2. Step 2: Convert to fraction form
    284,756.12/392,947.74 = 157,424.12/x
  3. Step 3: Cross multiply
    284,756.12x = 392,947.74 × 157,424.12
  4. Step 4: Simplify right side
    284,756.12x = 61,859,452,175.49
  5. Step 5: Solve for x
    x = 61,859,452,175.49/284,756.12
  6. Step 6: Final answer
    x = 217,236.60

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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.