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Finding the Fourth Proportional to 357,176.37, 535,743.68 and 261,210.78

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Solution

The fourth proportional to 357,176.37, 535,743.68 and 261,210.78 is: 391,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,176.37 : 535,743.68 = 261,210.78 : x
  2. Step 2: Convert to fraction form
    357,176.37/535,743.68 = 261,210.78/x
  3. Step 3: Cross multiply
    357,176.37x = 535,743.68 × 261,210.78
  4. Step 4: Simplify right side
    357,176.37x = 139,942,024,532.87
  5. Step 5: Solve for x
    x = 139,942,024,532.87/357,176.37
  6. Step 6: Final answer
    x = 391,800.90

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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.