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Finding the Fourth Proportional to 206,421.70, 310,332.45 and 164,833.06

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Solution

The fourth proportional to 206,421.70, 310,332.45 and 164,833.06 is: 247,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421.70 : 310,332.45 = 164,833.06 : x
  2. Step 2: Convert to fraction form
    206,421.70/310,332.45 = 164,833.06/x
  3. Step 3: Cross multiply
    206,421.70x = 310,332.45 × 164,833.06
  4. Step 4: Simplify right side
    206,421.70x = 51,153,047,350.80
  5. Step 5: Solve for x
    x = 51,153,047,350.80/206,421.70
  6. Step 6: Final answer
    x = 247,808.48

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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.