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Finding the Fourth Proportional to 284,027.68, 392,004.16 and 169,320.40

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Solution

The fourth proportional to 284,027.68, 392,004.16 and 169,320.40 is: 233,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,027.68 : 392,004.16 = 169,320.40 : x
  2. Step 2: Convert to fraction form
    284,027.68/392,004.16 = 169,320.40/x
  3. Step 3: Cross multiply
    284,027.68x = 392,004.16 × 169,320.40
  4. Step 4: Simplify right side
    284,027.68x = 66,374,301,172.86
  5. Step 5: Solve for x
    x = 66,374,301,172.86/284,027.68
  6. Step 6: Final answer
    x = 233,689.55

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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.