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Finding the Fourth Proportional to 557,063.56, 768,766.14 and 315,341.13

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Solution

The fourth proportional to 557,063.56, 768,766.14 and 315,341.13 is: 435,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,063.56 : 768,766.14 = 315,341.13 : x
  2. Step 2: Convert to fraction form
    557,063.56/768,766.14 = 315,341.13/x
  3. Step 3: Cross multiply
    557,063.56x = 768,766.14 × 315,341.13
  4. Step 4: Simplify right side
    557,063.56x = 242,423,586,176.21
  5. Step 5: Solve for x
    x = 242,423,586,176.21/557,063.56
  6. Step 6: Final answer
    x = 435,181.19

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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.