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Finding the Fourth Proportional to 282,640.16, 423,037.20 and 207,740.48

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Solution

The fourth proportional to 282,640.16, 423,037.20 and 207,740.48 is: 310,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,640.16 : 423,037.20 = 207,740.48 : x
  2. Step 2: Convert to fraction form
    282,640.16/423,037.20 = 207,740.48/x
  3. Step 3: Cross multiply
    282,640.16x = 423,037.20 × 207,740.48
  4. Step 4: Simplify right side
    282,640.16x = 87,881,950,985.86
  5. Step 5: Solve for x
    x = 87,881,950,985.86/282,640.16
  6. Step 6: Final answer
    x = 310,932.29

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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.