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Finding the Fourth Proportional to 581,354.94, 802,228.13 and 319,728.66

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Solution

The fourth proportional to 581,354.94, 802,228.13 and 319,728.66 is: 441,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,354.94 : 802,228.13 = 319,728.66 : x
  2. Step 2: Convert to fraction form
    581,354.94/802,228.13 = 319,728.66/x
  3. Step 3: Cross multiply
    581,354.94x = 802,228.13 × 319,728.66
  4. Step 4: Simplify right side
    581,354.94x = 256,495,325,019.21
  5. Step 5: Solve for x
    x = 256,495,325,019.21/581,354.94
  6. Step 6: Final answer
    x = 441,202.62

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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.