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Finding the Fourth Proportional to 405,700.54, 559,678.22 and 262,506.71

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Solution

The fourth proportional to 405,700.54, 559,678.22 and 262,506.71 is: 362,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,700.54 : 559,678.22 = 262,506.71 : x
  2. Step 2: Convert to fraction form
    405,700.54/559,678.22 = 262,506.71/x
  3. Step 3: Cross multiply
    405,700.54x = 559,678.22 × 262,506.71
  4. Step 4: Simplify right side
    405,700.54x = 146,919,288,190.86
  5. Step 5: Solve for x
    x = 146,919,288,190.86/405,700.54
  6. Step 6: Final answer
    x = 362,137.28

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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.