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Finding the Fourth Proportional to 381,151.85, 526,085.13 and 258,851.16

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Solution

The fourth proportional to 381,151.85, 526,085.13 and 258,851.16 is: 357,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,151.85 : 526,085.13 = 258,851.16 : x
  2. Step 2: Convert to fraction form
    381,151.85/526,085.13 = 258,851.16/x
  3. Step 3: Cross multiply
    381,151.85x = 526,085.13 × 258,851.16
  4. Step 4: Simplify right side
    381,151.85x = 136,177,746,159.25
  5. Step 5: Solve for x
    x = 136,177,746,159.25/381,151.85
  6. Step 6: Final answer
    x = 357,279.51

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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.