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Finding the Fourth Proportional to 206,430.70, 310,345.95 and 164,842.06

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Solution

The fourth proportional to 206,430.70, 310,345.95 and 164,842.06 is: 247,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,430.70 : 310,345.95 = 164,842.06 : x
  2. Step 2: Convert to fraction form
    206,430.70/310,345.95 = 164,842.06/x
  3. Step 3: Cross multiply
    206,430.70x = 310,345.95 × 164,842.06
  4. Step 4: Simplify right side
    206,430.70x = 51,158,065,710.66
  5. Step 5: Solve for x
    x = 51,158,065,710.66/206,430.70
  6. Step 6: Final answer
    x = 247,821.98

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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.