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Finding the Fourth Proportional to 478,267.21, 659,959.91 and 294,476.59

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Solution

The fourth proportional to 478,267.21, 659,959.91 and 294,476.59 is: 406,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,267.21 : 659,959.91 = 294,476.59 : x
  2. Step 2: Convert to fraction form
    478,267.21/659,959.91 = 294,476.59/x
  3. Step 3: Cross multiply
    478,267.21x = 659,959.91 × 294,476.59
  4. Step 4: Simplify right side
    478,267.21x = 194,342,744,290.36
  5. Step 5: Solve for x
    x = 194,342,744,290.36/478,267.21
  6. Step 6: Final answer
    x = 406,347.62

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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.