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Finding the Fourth Proportional to 310,345.68, 428,276.88 and 174,380.16

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Solution

The fourth proportional to 310,345.68, 428,276.88 and 174,380.16 is: 240,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,345.68 : 428,276.88 = 174,380.16 : x
  2. Step 2: Convert to fraction form
    310,345.68/428,276.88 = 174,380.16/x
  3. Step 3: Cross multiply
    310,345.68x = 428,276.88 × 174,380.16
  4. Step 4: Simplify right side
    310,345.68x = 74,682,990,858.70
  5. Step 5: Solve for x
    x = 74,682,990,858.70/310,345.68
  6. Step 6: Final answer
    x = 240,644.53

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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.