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Finding the Fourth Proportional to 562,116.08, 775,717.08 and 320,438

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Solution

The fourth proportional to 562,116.08, 775,717.08 and 320,438 is: 442,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,116.08 : 775,717.08 = 320,438 : x
  2. Step 2: Convert to fraction form
    562,116.08/775,717.08 = 320,438/x
  3. Step 3: Cross multiply
    562,116.08x = 775,717.08 × 320,438
  4. Step 4: Simplify right side
    562,116.08x = 248,569,229,681.04
  5. Step 5: Solve for x
    x = 248,569,229,681.04/562,116.08
  6. Step 6: Final answer
    x = 442,202.67

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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.