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Finding the Fourth Proportional to 431,693.20, 647,539.80 and 290,688.40

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Solution

The fourth proportional to 431,693.20, 647,539.80 and 290,688.40 is: 436,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,693.20 : 647,539.80 = 290,688.40 : x
  2. Step 2: Convert to fraction form
    431,693.20/647,539.80 = 290,688.40/x
  3. Step 3: Cross multiply
    431,693.20x = 647,539.80 × 290,688.40
  4. Step 4: Simplify right side
    431,693.20x = 188,232,308,398.32
  5. Step 5: Solve for x
    x = 188,232,308,398.32/431,693.20
  6. Step 6: Final answer
    x = 436,032.60

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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.