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Finding the Fourth Proportional to 284,735.62, 392,943.54 and 157,419.64

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Solution

The fourth proportional to 284,735.62, 392,943.54 and 157,419.64 is: 217,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,735.62 : 392,943.54 = 157,419.64 : x
  2. Step 2: Convert to fraction form
    284,735.62/392,943.54 = 157,419.64/x
  3. Step 3: Cross multiply
    284,735.62x = 392,943.54 × 157,419.64
  4. Step 4: Simplify right side
    284,735.62x = 61,857,030,607.13
  5. Step 5: Solve for x
    x = 61,857,030,607.13/284,735.62
  6. Step 6: Final answer
    x = 217,243.74

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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.