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Finding the Fourth Proportional to 210,438.68, 290,319.40 and 155,379.95

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Solution

The fourth proportional to 210,438.68, 290,319.40 and 155,379.95 is: 214,360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,438.68 : 290,319.40 = 155,379.95 : x
  2. Step 2: Convert to fraction form
    210,438.68/290,319.40 = 155,379.95/x
  3. Step 3: Cross multiply
    210,438.68x = 290,319.40 × 155,379.95
  4. Step 4: Simplify right side
    210,438.68x = 45,109,815,624.52
  5. Step 5: Solve for x
    x = 45,109,815,624.52/210,438.68
  6. Step 6: Final answer
    x = 214,360.86

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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.