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Finding the Fourth Proportional to 315,543.87, 472,965.19 and 240,416.32

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Solution

The fourth proportional to 315,543.87, 472,965.19 and 240,416.32 is: 360,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,543.87 : 472,965.19 = 240,416.32 : x
  2. Step 2: Convert to fraction form
    315,543.87/472,965.19 = 240,416.32/x
  3. Step 3: Cross multiply
    315,543.87x = 472,965.19 × 240,416.32
  4. Step 4: Simplify right side
    315,543.87x = 113,708,550,923.60
  5. Step 5: Solve for x
    x = 113,708,550,923.60/315,543.87
  6. Step 6: Final answer
    x = 360,357.34

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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.