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Finding the Fourth Proportional to 288,432.34, 432,919.86 and 146,379.58

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Solution

The fourth proportional to 288,432.34, 432,919.86 and 146,379.58 is: 219,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,432.34 : 432,919.86 = 146,379.58 : x
  2. Step 2: Convert to fraction form
    288,432.34/432,919.86 = 146,379.58/x
  3. Step 3: Cross multiply
    288,432.34x = 432,919.86 × 146,379.58
  4. Step 4: Simplify right side
    288,432.34x = 63,370,627,280.46
  5. Step 5: Solve for x
    x = 63,370,627,280.46/288,432.34
  6. Step 6: Final answer
    x = 219,707.08

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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.