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Finding the Fourth Proportional to 348,967.44, 523,509.48 and 138,607.20

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Solution

The fourth proportional to 348,967.44, 523,509.48 and 138,607.20 is: 207,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,967.44 : 523,509.48 = 138,607.20 : x
  2. Step 2: Convert to fraction form
    348,967.44/523,509.48 = 138,607.20/x
  3. Step 3: Cross multiply
    348,967.44x = 523,509.48 × 138,607.20
  4. Step 4: Simplify right side
    348,967.44x = 72,562,183,196.26
  5. Step 5: Solve for x
    x = 72,562,183,196.26/348,967.44
  6. Step 6: Final answer
    x = 207,933.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.