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Finding the Fourth Proportional to 343,909.84, 515,384.22 and 293,043.16

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Solution

The fourth proportional to 343,909.84, 515,384.22 and 293,043.16 is: 439,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,909.84 : 515,384.22 = 293,043.16 : x
  2. Step 2: Convert to fraction form
    343,909.84/515,384.22 = 293,043.16/x
  3. Step 3: Cross multiply
    343,909.84x = 515,384.22 × 293,043.16
  4. Step 4: Simplify right side
    343,909.84x = 151,029,820,442.94
  5. Step 5: Solve for x
    x = 151,029,820,442.94/343,909.84
  6. Step 6: Final answer
    x = 439,155.28

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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.