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Finding the Fourth Proportional to 288,407.36, 431,759.10 and 213,026.96

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Solution

The fourth proportional to 288,407.36, 431,759.10 and 213,026.96 is: 318,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,407.36 : 431,759.10 = 213,026.96 : x
  2. Step 2: Convert to fraction form
    288,407.36/431,759.10 = 213,026.96/x
  3. Step 3: Cross multiply
    288,407.36x = 431,759.10 × 213,026.96
  4. Step 4: Simplify right side
    288,407.36x = 91,976,328,525.34
  5. Step 5: Solve for x
    x = 91,976,328,525.34/288,407.36
  6. Step 6: Final answer
    x = 318,911.17

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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.