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Finding the Fourth Proportional to 306,561.60, 459,856.80 and 96,206.40

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Solution

The fourth proportional to 306,561.60, 459,856.80 and 96,206.40 is: 144,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,561.60 : 459,856.80 = 96,206.40 : x
  2. Step 2: Convert to fraction form
    306,561.60/459,856.80 = 96,206.40/x
  3. Step 3: Cross multiply
    306,561.60x = 459,856.80 × 96,206.40
  4. Step 4: Simplify right side
    306,561.60x = 44,241,167,243.52
  5. Step 5: Solve for x
    x = 44,241,167,243.52/306,561.60
  6. Step 6: Final answer
    x = 144,314.12

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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.