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Finding the Fourth Proportional to 381,386.13, 526,312.85 and 211,647.57

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Solution

The fourth proportional to 381,386.13, 526,312.85 and 211,647.57 is: 292,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,386.13 : 526,312.85 = 211,647.57 : x
  2. Step 2: Convert to fraction form
    381,386.13/526,312.85 = 211,647.57/x
  3. Step 3: Cross multiply
    381,386.13x = 526,312.85 × 211,647.57
  4. Step 4: Simplify right side
    381,386.13x = 111,392,835,762.28
  5. Step 5: Solve for x
    x = 111,392,835,762.28/381,386.13
  6. Step 6: Final answer
    x = 292,073.64

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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.