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Finding the Fourth Proportional to 557,689.64, 769,549.23 and 315,920.43

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Solution

The fourth proportional to 557,689.64, 769,549.23 and 315,920.43 is: 435,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,689.64 : 769,549.23 = 315,920.43 : x
  2. Step 2: Convert to fraction form
    557,689.64/769,549.23 = 315,920.43/x
  3. Step 3: Cross multiply
    557,689.64x = 769,549.23 × 315,920.43
  4. Step 4: Simplify right side
    557,689.64x = 243,116,323,647.77
  5. Step 5: Solve for x
    x = 243,116,323,647.77/557,689.64
  6. Step 6: Final answer
    x = 435,934.81

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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.