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Finding the Fourth Proportional to 284,715.07, 392,887 and 157,380.64

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Solution

The fourth proportional to 284,715.07, 392,887 and 157,380.64 is: 217,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,715.07 : 392,887 = 157,380.64 : x
  2. Step 2: Convert to fraction form
    284,715.07/392,887 = 157,380.64/x
  3. Step 3: Cross multiply
    284,715.07x = 392,887 × 157,380.64
  4. Step 4: Simplify right side
    284,715.07x = 61,832,807,507.68
  5. Step 5: Solve for x
    x = 61,832,807,507.68/284,715.07
  6. Step 6: Final answer
    x = 217,174.34

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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.