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Finding the Fourth Proportional to 208,306.80, 310,631.04 and 206,412.30

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Solution

The fourth proportional to 208,306.80, 310,631.04 and 206,412.30 is: 307,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,306.80 : 310,631.04 = 206,412.30 : x
  2. Step 2: Convert to fraction form
    208,306.80/310,631.04 = 206,412.30/x
  3. Step 3: Cross multiply
    208,306.80x = 310,631.04 × 206,412.30
  4. Step 4: Simplify right side
    208,306.80x = 64,118,067,417.79
  5. Step 5: Solve for x
    x = 64,118,067,417.79/208,306.80
  6. Step 6: Final answer
    x = 307,805.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.