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Finding the Fourth Proportional to 343,999.20, 514,978.20 and 255,644.40

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Solution

The fourth proportional to 343,999.20, 514,978.20 and 255,644.40 is: 382,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,999.20 : 514,978.20 = 255,644.40 : x
  2. Step 2: Convert to fraction form
    343,999.20/514,978.20 = 255,644.40/x
  3. Step 3: Cross multiply
    343,999.20x = 514,978.20 × 255,644.40
  4. Step 4: Simplify right side
    343,999.20x = 131,651,292,952.08
  5. Step 5: Solve for x
    x = 131,651,292,952.08/343,999.20
  6. Step 6: Final answer
    x = 382,708.14

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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.