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Finding the Fourth Proportional to 377,328.64, 565,992.96 and 258,640.16

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Solution

The fourth proportional to 377,328.64, 565,992.96 and 258,640.16 is: 387,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,328.64 : 565,992.96 = 258,640.16 : x
  2. Step 2: Convert to fraction form
    377,328.64/565,992.96 = 258,640.16/x
  3. Step 3: Cross multiply
    377,328.64x = 565,992.96 × 258,640.16
  4. Step 4: Simplify right side
    377,328.64x = 146,388,509,733.27
  5. Step 5: Solve for x
    x = 146,388,509,733.27/377,328.64
  6. Step 6: Final answer
    x = 387,960.24

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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.