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Finding the Fourth Proportional to 538,586.46, 808,113.51 and 288,976.86

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Solution

The fourth proportional to 538,586.46, 808,113.51 and 288,976.86 is: 433,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,586.46 : 808,113.51 = 288,976.86 : x
  2. Step 2: Convert to fraction form
    538,586.46/808,113.51 = 288,976.86/x
  3. Step 3: Cross multiply
    538,586.46x = 808,113.51 × 288,976.86
  4. Step 4: Simplify right side
    538,586.46x = 233,526,104,643.38
  5. Step 5: Solve for x
    x = 233,526,104,643.38/538,586.46
  6. Step 6: Final answer
    x = 433,590.75

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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.