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Finding the Fourth Proportional to 434,064.80, 650,708.40 and 284,376.80

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Solution

The fourth proportional to 434,064.80, 650,708.40 and 284,376.80 is: 426,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,064.80 : 650,708.40 = 284,376.80 : x
  2. Step 2: Convert to fraction form
    434,064.80/650,708.40 = 284,376.80/x
  3. Step 3: Cross multiply
    434,064.80x = 650,708.40 × 284,376.80
  4. Step 4: Simplify right side
    434,064.80x = 185,046,372,525.12
  5. Step 5: Solve for x
    x = 185,046,372,525.12/434,064.80
  6. Step 6: Final answer
    x = 426,310.48

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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.