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Finding the Fourth Proportional to 289,001.40, 433,502.10 and 209,743.80

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Solution

The fourth proportional to 289,001.40, 433,502.10 and 209,743.80 is: 314,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,001.40 : 433,502.10 = 209,743.80 : x
  2. Step 2: Convert to fraction form
    289,001.40/433,502.10 = 209,743.80/x
  3. Step 3: Cross multiply
    289,001.40x = 433,502.10 × 209,743.80
  4. Step 4: Simplify right side
    289,001.40x = 90,924,377,761.98
  5. Step 5: Solve for x
    x = 90,924,377,761.98/289,001.40
  6. Step 6: Final answer
    x = 314,615.70

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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.