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Finding the Fourth Proportional to 521,148.52, 719,178.10 and 294,794.02

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Solution

The fourth proportional to 521,148.52, 719,178.10 and 294,794.02 is: 406,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,148.52 : 719,178.10 = 294,794.02 : x
  2. Step 2: Convert to fraction form
    521,148.52/719,178.10 = 294,794.02/x
  3. Step 3: Cross multiply
    521,148.52x = 719,178.10 × 294,794.02
  4. Step 4: Simplify right side
    521,148.52x = 212,009,403,194.96
  5. Step 5: Solve for x
    x = 212,009,403,194.96/521,148.52
  6. Step 6: Final answer
    x = 406,811.87

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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.