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Finding the Fourth Proportional to 243,358.40, 364,972.80 and 74,878.40

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Solution

The fourth proportional to 243,358.40, 364,972.80 and 74,878.40 is: 112,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,358.40 : 364,972.80 = 74,878.40 : x
  2. Step 2: Convert to fraction form
    243,358.40/364,972.80 = 74,878.40/x
  3. Step 3: Cross multiply
    243,358.40x = 364,972.80 × 74,878.40
  4. Step 4: Simplify right side
    243,358.40x = 27,328,579,307.52
  5. Step 5: Solve for x
    x = 27,328,579,307.52/243,358.40
  6. Step 6: Final answer
    x = 112,297.66

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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.