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Finding the Fourth Proportional to 282,720.64, 390,211.22 and 167,977.20

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Solution

The fourth proportional to 282,720.64, 390,211.22 and 167,977.20 is: 231,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,720.64 : 390,211.22 = 167,977.20 : x
  2. Step 2: Convert to fraction form
    282,720.64/390,211.22 = 167,977.20/x
  3. Step 3: Cross multiply
    282,720.64x = 390,211.22 × 167,977.20
  4. Step 4: Simplify right side
    282,720.64x = 65,546,588,144.18
  5. Step 5: Solve for x
    x = 65,546,588,144.18/282,720.64
  6. Step 6: Final answer
    x = 231,842.25

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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.