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Finding the Fourth Proportional to 280,841.83, 387,631.37 and 160,054.76

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Solution

The fourth proportional to 280,841.83, 387,631.37 and 160,054.76 is: 220,915.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,841.83 : 387,631.37 = 160,054.76 : x
  2. Step 2: Convert to fraction form
    280,841.83/387,631.37 = 160,054.76/x
  3. Step 3: Cross multiply
    280,841.83x = 387,631.37 × 160,054.76
  4. Step 4: Simplify right side
    280,841.83x = 62,042,245,893.82
  5. Step 5: Solve for x
    x = 62,042,245,893.82/280,841.83
  6. Step 6: Final answer
    x = 220,915.26

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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.