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Finding the Fourth Proportional to 562,287.60, 775,958.76 and 307,638

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Solution

The fourth proportional to 562,287.60, 775,958.76 and 307,638 is: 424,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,287.60 : 775,958.76 = 307,638 : x
  2. Step 2: Convert to fraction form
    562,287.60/775,958.76 = 307,638/x
  3. Step 3: Cross multiply
    562,287.60x = 775,958.76 × 307,638
  4. Step 4: Simplify right side
    562,287.60x = 238,714,401,008.88
  5. Step 5: Solve for x
    x = 238,714,401,008.88/562,287.60
  6. Step 6: Final answer
    x = 424,541.46

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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.