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Finding the Fourth Proportional to 343,026.72, 510,388.20 and 334,455.84

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Solution

The fourth proportional to 343,026.72, 510,388.20 and 334,455.84 is: 497,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,026.72 : 510,388.20 = 334,455.84 : x
  2. Step 2: Convert to fraction form
    343,026.72/510,388.20 = 334,455.84/x
  3. Step 3: Cross multiply
    343,026.72x = 510,388.20 × 334,455.84
  4. Step 4: Simplify right side
    343,026.72x = 170,702,314,157.09
  5. Step 5: Solve for x
    x = 170,702,314,157.09/343,026.72
  6. Step 6: Final answer
    x = 497,635.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.