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Finding the Fourth Proportional to 209,416.52, 314,120.72 and 59,657.78

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Solution

The fourth proportional to 209,416.52, 314,120.72 and 59,657.78 is: 89,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,416.52 : 314,120.72 = 59,657.78 : x
  2. Step 2: Convert to fraction form
    209,416.52/314,120.72 = 59,657.78/x
  3. Step 3: Cross multiply
    209,416.52x = 314,120.72 × 59,657.78
  4. Step 4: Simplify right side
    209,416.52x = 18,739,745,741.65
  5. Step 5: Solve for x
    x = 18,739,745,741.65/209,416.52
  6. Step 6: Final answer
    x = 89,485.52

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1.5x scale

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.