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Finding the Fourth Proportional to 261,488.96, 392,443.60 and 135,166.20

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Solution

The fourth proportional to 261,488.96, 392,443.60 and 135,166.20 is: 202,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,488.96 : 392,443.60 = 135,166.20 : x
  2. Step 2: Convert to fraction form
    261,488.96/392,443.60 = 135,166.20/x
  3. Step 3: Cross multiply
    261,488.96x = 392,443.60 × 135,166.20
  4. Step 4: Simplify right side
    261,488.96x = 53,045,110,126.32
  5. Step 5: Solve for x
    x = 53,045,110,126.32/261,488.96
  6. Step 6: Final answer
    x = 202,857.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.