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Finding the Fourth Proportional to 280,893.42, 387,642.11 and 160,039.80

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Solution

The fourth proportional to 280,893.42, 387,642.11 and 160,039.80 is: 220,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,893.42 : 387,642.11 = 160,039.80 : x
  2. Step 2: Convert to fraction form
    280,893.42/387,642.11 = 160,039.80/x
  3. Step 3: Cross multiply
    280,893.42x = 387,642.11 × 160,039.80
  4. Step 4: Simplify right side
    280,893.42x = 62,038,164,955.78
  5. Step 5: Solve for x
    x = 62,038,164,955.78/280,893.42
  6. Step 6: Final answer
    x = 220,860.16

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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.