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Finding the Fourth Proportional to 581,654.91, 802,683.80 and 340,140.42

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Solution

The fourth proportional to 581,654.91, 802,683.80 and 340,140.42 is: 469,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,654.91 : 802,683.80 = 340,140.42 : x
  2. Step 2: Convert to fraction form
    581,654.91/802,683.80 = 340,140.42/x
  3. Step 3: Cross multiply
    581,654.91x = 802,683.80 × 340,140.42
  4. Step 4: Simplify right side
    581,654.91x = 273,025,203,158.49
  5. Step 5: Solve for x
    x = 273,025,203,158.49/581,654.91
  6. Step 6: Final answer
    x = 469,393.79

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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.