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Finding the Fourth Proportional to 381,430.60, 572,405.10 and 212,950.60

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Solution

The fourth proportional to 381,430.60, 572,405.10 and 212,950.60 is: 319,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,430.60 : 572,405.10 = 212,950.60 : x
  2. Step 2: Convert to fraction form
    381,430.60/572,405.10 = 212,950.60/x
  3. Step 3: Cross multiply
    381,430.60x = 572,405.10 × 212,950.60
  4. Step 4: Simplify right side
    381,430.60x = 121,894,009,488.06
  5. Step 5: Solve for x
    x = 121,894,009,488.06/381,430.60
  6. Step 6: Final answer
    x = 319,570.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.