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Finding the Fourth Proportional to 312,038.16, 468,055.80 and 75,380.16

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Solution

The fourth proportional to 312,038.16, 468,055.80 and 75,380.16 is: 113,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,038.16 : 468,055.80 = 75,380.16 : x
  2. Step 2: Convert to fraction form
    312,038.16/468,055.80 = 75,380.16/x
  3. Step 3: Cross multiply
    312,038.16x = 468,055.80 × 75,380.16
  4. Step 4: Simplify right side
    312,038.16x = 35,282,121,092.93
  5. Step 5: Solve for x
    x = 35,282,121,092.93/312,038.16
  6. Step 6: Final answer
    x = 113,069.89

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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.