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Finding the Fourth Proportional to 645,604.56, 968,397.66 and 290,366.64

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Solution

The fourth proportional to 645,604.56, 968,397.66 and 290,366.64 is: 435,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,604.56 : 968,397.66 = 290,366.64 : x
  2. Step 2: Convert to fraction form
    645,604.56/968,397.66 = 290,366.64/x
  3. Step 3: Cross multiply
    645,604.56x = 968,397.66 × 290,366.64
  4. Step 4: Simplify right side
    645,604.56x = 281,190,374,718.06
  5. Step 5: Solve for x
    x = 281,190,374,718.06/645,604.56
  6. Step 6: Final answer
    x = 435,545.83

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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.