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Finding the Fourth Proportional to 284,700.94, 392,889.66 and 157,378.66

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Solution

The fourth proportional to 284,700.94, 392,889.66 and 157,378.66 is: 217,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,700.94 : 392,889.66 = 157,378.66 : x
  2. Step 2: Convert to fraction form
    284,700.94/392,889.66 = 157,378.66/x
  3. Step 3: Cross multiply
    284,700.94x = 392,889.66 × 157,378.66
  4. Step 4: Simplify right side
    284,700.94x = 61,832,448,218.66
  5. Step 5: Solve for x
    x = 61,832,448,218.66/284,700.94
  6. Step 6: Final answer
    x = 217,183.86

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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.