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Finding the Fourth Proportional to 284,156.49, 392,133.99 and 156,832.05

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Solution

The fourth proportional to 284,156.49, 392,133.99 and 156,832.05 is: 216,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,156.49 : 392,133.99 = 156,832.05 : x
  2. Step 2: Convert to fraction form
    284,156.49/392,133.99 = 156,832.05/x
  3. Step 3: Cross multiply
    284,156.49x = 392,133.99 × 156,832.05
  4. Step 4: Simplify right side
    284,156.49x = 61,499,177,526.38
  5. Step 5: Solve for x
    x = 61,499,177,526.38/284,156.49
  6. Step 6: Final answer
    x = 216,427.14

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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.