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Finding the Fourth Proportional to 280,139.32, 386,580.84 and 165,455.08

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Solution

The fourth proportional to 280,139.32, 386,580.84 and 165,455.08 is: 228,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,139.32 : 386,580.84 = 165,455.08 : x
  2. Step 2: Convert to fraction form
    280,139.32/386,580.84 = 165,455.08/x
  3. Step 3: Cross multiply
    280,139.32x = 386,580.84 × 165,455.08
  4. Step 4: Simplify right side
    280,139.32x = 63,961,763,808.67
  5. Step 5: Solve for x
    x = 63,961,763,808.67/280,139.32
  6. Step 6: Final answer
    x = 228,321.26

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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.