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Finding the Fourth Proportional to 521,416, 719,554.12 and 282,952

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Solution

The fourth proportional to 521,416, 719,554.12 and 282,952 is: 390,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,416 : 719,554.12 = 282,952 : x
  2. Step 2: Convert to fraction form
    521,416/719,554.12 = 282,952/x
  3. Step 3: Cross multiply
    521,416x = 719,554.12 × 282,952
  4. Step 4: Simplify right side
    521,416x = 203,599,277,362.24
  5. Step 5: Solve for x
    x = 203,599,277,362.24/521,416
  6. Step 6: Final answer
    x = 390,473.78

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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.