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Finding the Fourth Proportional to 557,337.68, 769,026.12 and 331,038.80

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Solution

The fourth proportional to 557,337.68, 769,026.12 and 331,038.80 is: 456,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,337.68 : 769,026.12 = 331,038.80 : x
  2. Step 2: Convert to fraction form
    557,337.68/769,026.12 = 331,038.80/x
  3. Step 3: Cross multiply
    557,337.68x = 769,026.12 × 331,038.80
  4. Step 4: Simplify right side
    557,337.68x = 254,577,483,933.46
  5. Step 5: Solve for x
    x = 254,577,483,933.46/557,337.68
  6. Step 6: Final answer
    x = 456,774.22

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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.