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Finding the Fourth Proportional to 557,427.76, 769,249.64 and 315,756.93

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Solution

The fourth proportional to 557,427.76, 769,249.64 and 315,756.93 is: 435,744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,427.76 : 769,249.64 = 315,756.93 : x
  2. Step 2: Convert to fraction form
    557,427.76/769,249.64 = 315,756.93/x
  3. Step 3: Cross multiply
    557,427.76x = 769,249.64 × 315,756.93
  4. Step 4: Simplify right side
    557,427.76x = 242,895,908,404.08
  5. Step 5: Solve for x
    x = 242,895,908,404.08/557,427.76
  6. Step 6: Final answer
    x = 435,744.19

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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.