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Finding the Fourth Proportional to 310,005.96, 427,778.65 and 174,008.71

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Solution

The fourth proportional to 310,005.96, 427,778.65 and 174,008.71 is: 240,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,005.96 : 427,778.65 = 174,008.71 : x
  2. Step 2: Convert to fraction form
    310,005.96/427,778.65 = 174,008.71/x
  3. Step 3: Cross multiply
    310,005.96x = 427,778.65 × 174,008.71
  4. Step 4: Simplify right side
    310,005.96x = 74,437,211,052.04
  5. Step 5: Solve for x
    x = 74,437,211,052.04/310,005.96
  6. Step 6: Final answer
    x = 240,115.42

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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.