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Finding the Fourth Proportional to 557,095.80, 769,011.66 and 375,915

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Solution

The fourth proportional to 557,095.80, 769,011.66 and 375,915 is: 518,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,095.80 : 769,011.66 = 375,915 : x
  2. Step 2: Convert to fraction form
    557,095.80/769,011.66 = 375,915/x
  3. Step 3: Cross multiply
    557,095.80x = 769,011.66 × 375,915
  4. Step 4: Simplify right side
    557,095.80x = 289,083,018,168.90
  5. Step 5: Solve for x
    x = 289,083,018,168.90/557,095.80
  6. Step 6: Final answer
    x = 518,910.78

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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.