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Finding the Fourth Proportional to 506,754.85, 699,274.06 and 343,078.40

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Solution

The fourth proportional to 506,754.85, 699,274.06 and 343,078.40 is: 473,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,754.85 : 699,274.06 = 343,078.40 : x
  2. Step 2: Convert to fraction form
    506,754.85/699,274.06 = 343,078.40/x
  3. Step 3: Cross multiply
    506,754.85x = 699,274.06 × 343,078.40
  4. Step 4: Simplify right side
    506,754.85x = 239,905,825,666.30
  5. Step 5: Solve for x
    x = 239,905,825,666.30/506,754.85
  6. Step 6: Final answer
    x = 473,415.94

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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.