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Finding the Fourth Proportional to 312,034.20, 468,051.30 and 258,890.10

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Solution

The fourth proportional to 312,034.20, 468,051.30 and 258,890.10 is: 388,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,034.20 : 468,051.30 = 258,890.10 : x
  2. Step 2: Convert to fraction form
    312,034.20/468,051.30 = 258,890.10/x
  3. Step 3: Cross multiply
    312,034.20x = 468,051.30 × 258,890.10
  4. Step 4: Simplify right side
    312,034.20x = 121,173,847,862.13
  5. Step 5: Solve for x
    x = 121,173,847,862.13/312,034.20
  6. Step 6: Final answer
    x = 388,335.15

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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.