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Finding the Fourth Proportional to 343,670.85, 515,506.29 and 299,384.10

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Solution

The fourth proportional to 343,670.85, 515,506.29 and 299,384.10 is: 449,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,670.85 : 515,506.29 = 299,384.10 : x
  2. Step 2: Convert to fraction form
    343,670.85/515,506.29 = 299,384.10/x
  3. Step 3: Cross multiply
    343,670.85x = 515,506.29 × 299,384.10
  4. Step 4: Simplify right side
    343,670.85x = 154,334,386,675.99
  5. Step 5: Solve for x
    x = 154,334,386,675.99/343,670.85
  6. Step 6: Final answer
    x = 449,076.16

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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.