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Finding the Fourth Proportional to 261,506.40, 392,065.20 and 143,311.20

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Solution

The fourth proportional to 261,506.40, 392,065.20 and 143,311.20 is: 214,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,506.40 : 392,065.20 = 143,311.20 : x
  2. Step 2: Convert to fraction form
    261,506.40/392,065.20 = 143,311.20/x
  3. Step 3: Cross multiply
    261,506.40x = 392,065.20 × 143,311.20
  4. Step 4: Simplify right side
    261,506.40x = 56,187,334,290.24
  5. Step 5: Solve for x
    x = 56,187,334,290.24/261,506.40
  6. Step 6: Final answer
    x = 214,860.26

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1.5x scale

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.