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Finding the Fourth Proportional to 310,747.32, 428,587.68 and 212,688.68

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Solution

The fourth proportional to 310,747.32, 428,587.68 and 212,688.68 is: 293,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,747.32 : 428,587.68 = 212,688.68 : x
  2. Step 2: Convert to fraction form
    310,747.32/428,587.68 = 212,688.68/x
  3. Step 3: Cross multiply
    310,747.32x = 428,587.68 × 212,688.68
  4. Step 4: Simplify right side
    310,747.32x = 91,155,747,923.46
  5. Step 5: Solve for x
    x = 91,155,747,923.46/310,747.32
  6. Step 6: Final answer
    x = 293,343.63

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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.