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Finding the Fourth Proportional to 261,935.64, 361,408.12 and 152,978.18

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Solution

The fourth proportional to 261,935.64, 361,408.12 and 152,978.18 is: 211,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,935.64 : 361,408.12 = 152,978.18 : x
  2. Step 2: Convert to fraction form
    261,935.64/361,408.12 = 152,978.18/x
  3. Step 3: Cross multiply
    261,935.64x = 361,408.12 × 152,978.18
  4. Step 4: Simplify right side
    261,935.64x = 55,287,556,955.90
  5. Step 5: Solve for x
    x = 55,287,556,955.90/261,935.64
  6. Step 6: Final answer
    x = 211,073.06

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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.