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Finding the Fourth Proportional to 523,878.39, 785,981.66 and 220,432.14

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Solution

The fourth proportional to 523,878.39, 785,981.66 and 220,432.14 is: 330,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,878.39 : 785,981.66 = 220,432.14 : x
  2. Step 2: Convert to fraction form
    523,878.39/785,981.66 = 220,432.14/x
  3. Step 3: Cross multiply
    523,878.39x = 785,981.66 × 220,432.14
  4. Step 4: Simplify right side
    523,878.39x = 173,255,618,212.39
  5. Step 5: Solve for x
    x = 173,255,618,212.39/523,878.39
  6. Step 6: Final answer
    x = 330,717.25

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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.