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Finding the Fourth Proportional to 280,381.51, 386,880.87 and 165,644.20

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Solution

The fourth proportional to 280,381.51, 386,880.87 and 165,644.20 is: 228,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,381.51 : 386,880.87 = 165,644.20 : x
  2. Step 2: Convert to fraction form
    280,381.51/386,880.87 = 165,644.20/x
  3. Step 3: Cross multiply
    280,381.51x = 386,880.87 × 165,644.20
  4. Step 4: Simplify right side
    280,381.51x = 64,084,572,206.45
  5. Step 5: Solve for x
    x = 64,084,572,206.45/280,381.51
  6. Step 6: Final answer
    x = 228,562.05

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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.