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Finding the Fourth Proportional to 230,073.66, 317,452.84 and 145,141.50

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Solution

The fourth proportional to 230,073.66, 317,452.84 and 145,141.50 is: 200,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,073.66 : 317,452.84 = 145,141.50 : x
  2. Step 2: Convert to fraction form
    230,073.66/317,452.84 = 145,141.50/x
  3. Step 3: Cross multiply
    230,073.66x = 317,452.84 × 145,141.50
  4. Step 4: Simplify right side
    230,073.66x = 46,075,581,376.86
  5. Step 5: Solve for x
    x = 46,075,581,376.86/230,073.66
  6. Step 6: Final answer
    x = 200,264.48

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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.