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Finding the Fourth Proportional to 656,817.50, 906,407.91 and 355,011.50

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Solution

The fourth proportional to 656,817.50, 906,407.91 and 355,011.50 is: 489,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,817.50 : 906,407.91 = 355,011.50 : x
  2. Step 2: Convert to fraction form
    656,817.50/906,407.91 = 355,011.50/x
  3. Step 3: Cross multiply
    656,817.50x = 906,407.91 × 355,011.50
  4. Step 4: Simplify right side
    656,817.50x = 321,785,231,740.97
  5. Step 5: Solve for x
    x = 321,785,231,740.97/656,817.50
  6. Step 6: Final answer
    x = 489,915.74

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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.