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Finding the Fourth Proportional to 253,514.61, 349,920 and 151,610.13

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Solution

The fourth proportional to 253,514.61, 349,920 and 151,610.13 is: 209,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,514.61 : 349,920 = 151,610.13 : x
  2. Step 2: Convert to fraction form
    253,514.61/349,920 = 151,610.13/x
  3. Step 3: Cross multiply
    253,514.61x = 349,920 × 151,610.13
  4. Step 4: Simplify right side
    253,514.61x = 53,051,416,689.60
  5. Step 5: Solve for x
    x = 53,051,416,689.60/253,514.61
  6. Step 6: Final answer
    x = 209,263.74

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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.