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Finding the Fourth Proportional to 306,475.20, 459,712.80 and 140,263.20

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Solution

The fourth proportional to 306,475.20, 459,712.80 and 140,263.20 is: 210,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,475.20 : 459,712.80 = 140,263.20 : x
  2. Step 2: Convert to fraction form
    306,475.20/459,712.80 = 140,263.20/x
  3. Step 3: Cross multiply
    306,475.20x = 459,712.80 × 140,263.20
  4. Step 4: Simplify right side
    306,475.20x = 64,480,788,408.96
  5. Step 5: Solve for x
    x = 64,480,788,408.96/306,475.20
  6. Step 6: Final answer
    x = 210,394.80

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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.