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Finding the Fourth Proportional to 284,367.68, 392,429.34 and 155,302.90

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Solution

The fourth proportional to 284,367.68, 392,429.34 and 155,302.90 is: 214,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,367.68 : 392,429.34 = 155,302.90 : x
  2. Step 2: Convert to fraction form
    284,367.68/392,429.34 = 155,302.90/x
  3. Step 3: Cross multiply
    284,367.68x = 392,429.34 × 155,302.90
  4. Step 4: Simplify right side
    284,367.68x = 60,945,414,547.09
  5. Step 5: Solve for x
    x = 60,945,414,547.09/284,367.68
  6. Step 6: Final answer
    x = 214,319.06

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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.