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Finding the Fourth Proportional to 312,312.54, 468,467.24 and 75,655.24

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Solution

The fourth proportional to 312,312.54, 468,467.24 and 75,655.24 is: 113,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,312.54 : 468,467.24 = 75,655.24 : x
  2. Step 2: Convert to fraction form
    312,312.54/468,467.24 = 75,655.24/x
  3. Step 3: Cross multiply
    312,312.54x = 468,467.24 × 75,655.24
  4. Step 4: Simplify right side
    312,312.54x = 35,442,001,474.34
  5. Step 5: Solve for x
    x = 35,442,001,474.34/312,312.54
  6. Step 6: Final answer
    x = 113,482.48

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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.