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Finding the Fourth Proportional to 310,117.98, 428,009.08 and 189,329.28

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Solution

The fourth proportional to 310,117.98, 428,009.08 and 189,329.28 is: 261,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,117.98 : 428,009.08 = 189,329.28 : x
  2. Step 2: Convert to fraction form
    310,117.98/428,009.08 = 189,329.28/x
  3. Step 3: Cross multiply
    310,117.98x = 428,009.08 × 189,329.28
  4. Step 4: Simplify right side
    310,117.98x = 81,034,650,949.86
  5. Step 5: Solve for x
    x = 81,034,650,949.86/310,117.98
  6. Step 6: Final answer
    x = 261,302.65

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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.