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Finding the Fourth Proportional to 381,424.17, 526,368.47 and 211,661.13

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Solution

The fourth proportional to 381,424.17, 526,368.47 and 211,661.13 is: 292,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,424.17 : 526,368.47 = 211,661.13 : x
  2. Step 2: Convert to fraction form
    381,424.17/526,368.47 = 211,661.13/x
  3. Step 3: Cross multiply
    381,424.17x = 526,368.47 × 211,661.13
  4. Step 4: Simplify right side
    381,424.17x = 111,411,744,098.27
  5. Step 5: Solve for x
    x = 111,411,744,098.27/381,424.17
  6. Step 6: Final answer
    x = 292,094.09

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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.