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Finding the Fourth Proportional to 369,484.11, 509,694.44 and 320,977.13

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Solution

The fourth proportional to 369,484.11, 509,694.44 and 320,977.13 is: 442,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,484.11 : 509,694.44 = 320,977.13 : x
  2. Step 2: Convert to fraction form
    369,484.11/509,694.44 = 320,977.13/x
  3. Step 3: Cross multiply
    369,484.11x = 509,694.44 × 320,977.13
  4. Step 4: Simplify right side
    369,484.11x = 163,600,254,374.80
  5. Step 5: Solve for x
    x = 163,600,254,374.80/369,484.11
  6. Step 6: Final answer
    x = 442,780.22

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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.