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Finding the Fourth Proportional to 406,023.76, 559,940.48 and 348,643.56

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Solution

The fourth proportional to 406,023.76, 559,940.48 and 348,643.56 is: 480,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,023.76 : 559,940.48 = 348,643.56 : x
  2. Step 2: Convert to fraction form
    406,023.76/559,940.48 = 348,643.56/x
  3. Step 3: Cross multiply
    406,023.76x = 559,940.48 × 348,643.56
  4. Step 4: Simplify right side
    406,023.76x = 195,219,642,335.31
  5. Step 5: Solve for x
    x = 195,219,642,335.31/406,023.76
  6. Step 6: Final answer
    x = 480,808.43

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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.