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Finding the Fourth Proportional to 472,708.20, 709,580.70 and 262,237.80

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Solution

The fourth proportional to 472,708.20, 709,580.70 and 262,237.80 is: 393,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,708.20 : 709,580.70 = 262,237.80 : x
  2. Step 2: Convert to fraction form
    472,708.20/709,580.70 = 262,237.80/x
  3. Step 3: Cross multiply
    472,708.20x = 709,580.70 × 262,237.80
  4. Step 4: Simplify right side
    472,708.20x = 186,078,881,690.46
  5. Step 5: Solve for x
    x = 186,078,881,690.46/472,708.20
  6. Step 6: Final answer
    x = 393,644.29

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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.