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Finding the Fourth Proportional to 384,081.60, 530,282.28 and 343,726

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Solution

The fourth proportional to 384,081.60, 530,282.28 and 343,726 is: 474,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,081.60 : 530,282.28 = 343,726 : x
  2. Step 2: Convert to fraction form
    384,081.60/530,282.28 = 343,726/x
  3. Step 3: Cross multiply
    384,081.60x = 530,282.28 × 343,726
  4. Step 4: Simplify right side
    384,081.60x = 182,271,806,975.28
  5. Step 5: Solve for x
    x = 182,271,806,975.28/384,081.60
  6. Step 6: Final answer
    x = 474,565.32

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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.