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Finding the Fourth Proportional to 429,054.84, 643,613.04 and 113,508

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Solution

The fourth proportional to 429,054.84, 643,613.04 and 113,508 is: 170,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,054.84 : 643,613.04 = 113,508 : x
  2. Step 2: Convert to fraction form
    429,054.84/643,613.04 = 113,508/x
  3. Step 3: Cross multiply
    429,054.84x = 643,613.04 × 113,508
  4. Step 4: Simplify right side
    429,054.84x = 73,055,228,944.32
  5. Step 5: Solve for x
    x = 73,055,228,944.32/429,054.84
  6. Step 6: Final answer
    x = 170,270.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.