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Finding the Fourth Proportional to 289,054.20, 432,998.10 and 200,407.80

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Solution

The fourth proportional to 289,054.20, 432,998.10 and 200,407.80 is: 300,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,054.20 : 432,998.10 = 200,407.80 : x
  2. Step 2: Convert to fraction form
    289,054.20/432,998.10 = 200,407.80/x
  3. Step 3: Cross multiply
    289,054.20x = 432,998.10 × 200,407.80
  4. Step 4: Simplify right side
    289,054.20x = 86,776,196,625.18
  5. Step 5: Solve for x
    x = 86,776,196,625.18/289,054.20
  6. Step 6: Final answer
    x = 300,207.35

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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.