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Finding the Fourth Proportional to 280,894.42, 387,643.49 and 160,040.80

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Solution

The fourth proportional to 280,894.42, 387,643.49 and 160,040.80 is: 220,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,894.42 : 387,643.49 = 160,040.80 : x
  2. Step 2: Convert to fraction form
    280,894.42/387,643.49 = 160,040.80/x
  3. Step 3: Cross multiply
    280,894.42x = 387,643.49 × 160,040.80
  4. Step 4: Simplify right side
    280,894.42x = 62,038,774,254.39
  5. Step 5: Solve for x
    x = 62,038,774,254.39/280,894.42
  6. Step 6: Final answer
    x = 220,861.54

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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.