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Finding the Fourth Proportional to 788,932, 1,088,726.16 and 431,236

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Solution

The fourth proportional to 788,932, 1,088,726.16 and 431,236 is: 595,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,932 : 1,088,726.16 = 431,236 : x
  2. Step 2: Convert to fraction form
    788,932/1,088,726.16 = 431,236/x
  3. Step 3: Cross multiply
    788,932x = 1,088,726.16 × 431,236
  4. Step 4: Simplify right side
    788,932x = 469,497,914,333.76
  5. Step 5: Solve for x
    x = 469,497,914,333.76/788,932
  6. Step 6: Final answer
    x = 595,105.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.