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Finding the Fourth Proportional to 230,379.10, 317,900.91 and 138,525.10

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Solution

The fourth proportional to 230,379.10, 317,900.91 and 138,525.10 is: 191,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,379.10 : 317,900.91 = 138,525.10 : x
  2. Step 2: Convert to fraction form
    230,379.10/317,900.91 = 138,525.10/x
  3. Step 3: Cross multiply
    230,379.10x = 317,900.91 × 138,525.10
  4. Step 4: Simplify right side
    230,379.10x = 44,037,255,347.84
  5. Step 5: Solve for x
    x = 44,037,255,347.84/230,379.10
  6. Step 6: Final answer
    x = 191,151.26

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1.5x scale

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.