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Finding the Fourth Proportional to 378,302.32, 522,094.02 and 282,642.94

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Solution

The fourth proportional to 378,302.32, 522,094.02 and 282,642.94 is: 390,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,302.32 : 522,094.02 = 282,642.94 : x
  2. Step 2: Convert to fraction form
    378,302.32/522,094.02 = 282,642.94/x
  3. Step 3: Cross multiply
    378,302.32x = 522,094.02 × 282,642.94
  4. Step 4: Simplify right side
    378,302.32x = 147,566,188,769.22
  5. Step 5: Solve for x
    x = 147,566,188,769.22/378,302.32
  6. Step 6: Final answer
    x = 390,074.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.