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Finding the Fourth Proportional to 261,508.40, 392,068.20 and 143,313.20

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Solution

The fourth proportional to 261,508.40, 392,068.20 and 143,313.20 is: 214,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,508.40 : 392,068.20 = 143,313.20 : x
  2. Step 2: Convert to fraction form
    261,508.40/392,068.20 = 143,313.20/x
  3. Step 3: Cross multiply
    261,508.40x = 392,068.20 × 143,313.20
  4. Step 4: Simplify right side
    261,508.40x = 56,188,548,360.24
  5. Step 5: Solve for x
    x = 56,188,548,360.24/261,508.40
  6. Step 6: Final answer
    x = 214,863.26

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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.