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Finding the Fourth Proportional to 697,902.56, 963,211.52 and 426,128.93

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Solution

The fourth proportional to 697,902.56, 963,211.52 and 426,128.93 is: 588,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,902.56 : 963,211.52 = 426,128.93 : x
  2. Step 2: Convert to fraction form
    697,902.56/963,211.52 = 426,128.93/x
  3. Step 3: Cross multiply
    697,902.56x = 963,211.52 × 426,128.93
  4. Step 4: Simplify right side
    697,902.56x = 410,452,290,630.54
  5. Step 5: Solve for x
    x = 410,452,290,630.54/697,902.56
  6. Step 6: Final answer
    x = 588,122.64

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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.