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Finding the Fourth Proportional to 557,297.64, 769,070.69 and 315,580.15

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Solution

The fourth proportional to 557,297.64, 769,070.69 and 315,580.15 is: 435,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,297.64 : 769,070.69 = 315,580.15 : x
  2. Step 2: Convert to fraction form
    557,297.64/769,070.69 = 315,580.15/x
  3. Step 3: Cross multiply
    557,297.64x = 769,070.69 × 315,580.15
  4. Step 4: Simplify right side
    557,297.64x = 242,703,445,633.48
  5. Step 5: Solve for x
    x = 242,703,445,633.48/557,297.64
  6. Step 6: Final answer
    x = 435,500.58

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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.