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Finding the Fourth Proportional to 284,744.10, 392,930.01 and 157,412.10

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Solution

The fourth proportional to 284,744.10, 392,930.01 and 157,412.10 is: 217,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,744.10 : 392,930.01 = 157,412.10 : x
  2. Step 2: Convert to fraction form
    284,744.10/392,930.01 = 157,412.10/x
  3. Step 3: Cross multiply
    284,744.10x = 392,930.01 × 157,412.10
  4. Step 4: Simplify right side
    284,744.10x = 61,851,938,027.12
  5. Step 5: Solve for x
    x = 61,851,938,027.12/284,744.10
  6. Step 6: Final answer
    x = 217,219.38

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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.