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Finding the Fourth Proportional to 284,576.04, 392,722.80 and 157,259.64

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Solution

The fourth proportional to 284,576.04, 392,722.80 and 157,259.64 is: 217,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,576.04 : 392,722.80 = 157,259.64 : x
  2. Step 2: Convert to fraction form
    284,576.04/392,722.80 = 157,259.64/x
  3. Step 3: Cross multiply
    284,576.04x = 392,722.80 × 157,259.64
  4. Step 4: Simplify right side
    284,576.04x = 61,759,446,147.79
  5. Step 5: Solve for x
    x = 61,759,446,147.79/284,576.04
  6. Step 6: Final answer
    x = 217,022.65

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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.