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Finding the Fourth Proportional to 521,257.50, 719,330.49 and 294,903

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Solution

The fourth proportional to 521,257.50, 719,330.49 and 294,903 is: 406,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,257.50 : 719,330.49 = 294,903 : x
  2. Step 2: Convert to fraction form
    521,257.50/719,330.49 = 294,903/x
  3. Step 3: Cross multiply
    521,257.50x = 719,330.49 × 294,903
  4. Step 4: Simplify right side
    521,257.50x = 212,132,719,492.47
  5. Step 5: Solve for x
    x = 212,132,719,492.47/521,257.50
  6. Step 6: Final answer
    x = 406,963.39

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1.5x scale

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.