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Finding the Fourth Proportional to 255,959.40, 353,234.90 and 142,782.16

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Solution

The fourth proportional to 255,959.40, 353,234.90 and 142,782.16 is: 197,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,959.40 : 353,234.90 = 142,782.16 : x
  2. Step 2: Convert to fraction form
    255,959.40/353,234.90 = 142,782.16/x
  3. Step 3: Cross multiply
    255,959.40x = 353,234.90 × 142,782.16
  4. Step 4: Simplify right side
    255,959.40x = 50,435,642,009.38
  5. Step 5: Solve for x
    x = 50,435,642,009.38/255,959.40
  6. Step 6: Final answer
    x = 197,045.48

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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.