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Finding the Fourth Proportional to 562,041.41, 775,597.91 and 320,401.80

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Solution

The fourth proportional to 562,041.41, 775,597.91 and 320,401.80 is: 442,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,041.41 : 775,597.91 = 320,401.80 : x
  2. Step 2: Convert to fraction form
    562,041.41/775,597.91 = 320,401.80/x
  3. Step 3: Cross multiply
    562,041.41x = 775,597.91 × 320,401.80
  4. Step 4: Simplify right side
    562,041.41x = 248,502,964,838.23
  5. Step 5: Solve for x
    x = 248,502,964,838.23/562,041.41
  6. Step 6: Final answer
    x = 442,143.52

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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.