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Finding the Fourth Proportional to 521,031.50, 719,023.47 and 294,672.14

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Solution

The fourth proportional to 521,031.50, 719,023.47 and 294,672.14 is: 406,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,031.50 : 719,023.47 = 294,672.14 : x
  2. Step 2: Convert to fraction form
    521,031.50/719,023.47 = 294,672.14/x
  3. Step 3: Cross multiply
    521,031.50x = 719,023.47 × 294,672.14
  4. Step 4: Simplify right side
    521,031.50x = 211,876,184,615.13
  5. Step 5: Solve for x
    x = 211,876,184,615.13/521,031.50
  6. Step 6: Final answer
    x = 406,647.55

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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.