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Finding the Fourth Proportional to 472,755.40, 709,264.32 and 262,540.96

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Solution

The fourth proportional to 472,755.40, 709,264.32 and 262,540.96 is: 393,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,755.40 : 709,264.32 = 262,540.96 : x
  2. Step 2: Convert to fraction form
    472,755.40/709,264.32 = 262,540.96/x
  3. Step 3: Cross multiply
    472,755.40x = 709,264.32 × 262,540.96
  4. Step 4: Simplify right side
    472,755.40x = 186,210,935,466.55
  5. Step 5: Solve for x
    x = 186,210,935,466.55/472,755.40
  6. Step 6: Final answer
    x = 393,884.31

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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.