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Finding the Fourth Proportional to 434,032.80, 650,660.40 and 284,344.80

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Solution

The fourth proportional to 434,032.80, 650,660.40 and 284,344.80 is: 426,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,032.80 : 650,660.40 = 284,344.80 : x
  2. Step 2: Convert to fraction form
    434,032.80/650,660.40 = 284,344.80/x
  3. Step 3: Cross multiply
    434,032.80x = 650,660.40 × 284,344.80
  4. Step 4: Simplify right side
    434,032.80x = 185,011,901,305.92
  5. Step 5: Solve for x
    x = 185,011,901,305.92/434,032.80
  6. Step 6: Final answer
    x = 426,262.49

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1.5x scale

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.