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Finding the Fourth Proportional to 557,600.52, 769,463.64 and 315,878.16

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Solution

The fourth proportional to 557,600.52, 769,463.64 and 315,878.16 is: 435,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,600.52 : 769,463.64 = 315,878.16 : x
  2. Step 2: Convert to fraction form
    557,600.52/769,463.64 = 315,878.16/x
  3. Step 3: Cross multiply
    557,600.52x = 769,463.64 × 315,878.16
  4. Step 4: Simplify right side
    557,600.52x = 243,056,758,790.10
  5. Step 5: Solve for x
    x = 243,056,758,790.10/557,600.52
  6. Step 6: Final answer
    x = 435,897.65

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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.