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Finding the Fourth Proportional to 562,314.78, 775,975.14 and 320,675.22

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Solution

The fourth proportional to 562,314.78, 775,975.14 and 320,675.22 is: 442,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,314.78 : 775,975.14 = 320,675.22 : x
  2. Step 2: Convert to fraction form
    562,314.78/775,975.14 = 320,675.22/x
  3. Step 3: Cross multiply
    562,314.78x = 775,975.14 × 320,675.22
  4. Step 4: Simplify right side
    562,314.78x = 248,835,998,734.03
  5. Step 5: Solve for x
    x = 248,835,998,734.03/562,314.78
  6. Step 6: Final answer
    x = 442,520.82

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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.