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Finding the Fourth Proportional to 261,978.32, 361,530.60 and 142,746.32

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Solution

The fourth proportional to 261,978.32, 361,530.60 and 142,746.32 is: 196,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,978.32 : 361,530.60 = 142,746.32 : x
  2. Step 2: Convert to fraction form
    261,978.32/361,530.60 = 142,746.32/x
  3. Step 3: Cross multiply
    261,978.32x = 361,530.60 × 142,746.32
  4. Step 4: Simplify right side
    261,978.32x = 51,607,162,717.39
  5. Step 5: Solve for x
    x = 51,607,162,717.39/261,978.32
  6. Step 6: Final answer
    x = 196,990.20

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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.