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Finding the Fourth Proportional to 342,304.64, 513,709.20 and 162,390.64

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Solution

The fourth proportional to 342,304.64, 513,709.20 and 162,390.64 is: 243,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,304.64 : 513,709.20 = 162,390.64 : x
  2. Step 2: Convert to fraction form
    342,304.64/513,709.20 = 162,390.64/x
  3. Step 3: Cross multiply
    342,304.64x = 513,709.20 × 162,390.64
  4. Step 4: Simplify right side
    342,304.64x = 83,421,565,761.89
  5. Step 5: Solve for x
    x = 83,421,565,761.89/342,304.64
  6. Step 6: Final answer
    x = 243,705.62

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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.