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Finding the Fourth Proportional to 342,530.32, 513,442.32 and 142,966.84

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Solution

The fourth proportional to 342,530.32, 513,442.32 and 142,966.84 is: 214,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,530.32 : 513,442.32 = 142,966.84 : x
  2. Step 2: Convert to fraction form
    342,530.32/513,442.32 = 142,966.84/x
  3. Step 3: Cross multiply
    342,530.32x = 513,442.32 × 142,966.84
  4. Step 4: Simplify right side
    342,530.32x = 73,405,226,012.67
  5. Step 5: Solve for x
    x = 73,405,226,012.67/342,530.32
  6. Step 6: Final answer
    x = 214,302.86

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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.