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Finding the Fourth Proportional to 581,311.40, 802,116.42 and 326,661.80

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Solution

The fourth proportional to 581,311.40, 802,116.42 and 326,661.80 is: 450,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,311.40 : 802,116.42 = 326,661.80 : x
  2. Step 2: Convert to fraction form
    581,311.40/802,116.42 = 326,661.80/x
  3. Step 3: Cross multiply
    581,311.40x = 802,116.42 × 326,661.80
  4. Step 4: Simplify right side
    581,311.40x = 262,020,793,566.76
  5. Step 5: Solve for x
    x = 262,020,793,566.76/581,311.40
  6. Step 6: Final answer
    x = 450,740.85

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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.