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Finding the Fourth Proportional to 282,755.64, 390,203.20 and 155,432.01

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Solution

The fourth proportional to 282,755.64, 390,203.20 and 155,432.01 is: 214,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,755.64 : 390,203.20 = 155,432.01 : x
  2. Step 2: Convert to fraction form
    282,755.64/390,203.20 = 155,432.01/x
  3. Step 3: Cross multiply
    282,755.64x = 390,203.20 × 155,432.01
  4. Step 4: Simplify right side
    282,755.64x = 60,650,067,684.43
  5. Step 5: Solve for x
    x = 60,650,067,684.43/282,755.64
  6. Step 6: Final answer
    x = 214,496.40

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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.