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Finding the Fourth Proportional to 501,697.64, 692,342.18 and 275,343.72

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Solution

The fourth proportional to 501,697.64, 692,342.18 and 275,343.72 is: 379,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,697.64 : 692,342.18 = 275,343.72 : x
  2. Step 2: Convert to fraction form
    501,697.64/692,342.18 = 275,343.72/x
  3. Step 3: Cross multiply
    501,697.64x = 692,342.18 × 275,343.72
  4. Step 4: Simplify right side
    501,697.64x = 190,632,071,354.11
  5. Step 5: Solve for x
    x = 190,632,071,354.11/501,697.64
  6. Step 6: Final answer
    x = 379,974.02

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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.