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Finding the Fourth Proportional to 357,350.81, 493,154.46 and 202,289.85

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Solution

The fourth proportional to 357,350.81, 493,154.46 and 202,289.85 is: 279,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,350.81 : 493,154.46 = 202,289.85 : x
  2. Step 2: Convert to fraction form
    357,350.81/493,154.46 = 202,289.85/x
  3. Step 3: Cross multiply
    357,350.81x = 493,154.46 × 202,289.85
  4. Step 4: Simplify right side
    357,350.81x = 99,760,141,740.23
  5. Step 5: Solve for x
    x = 99,760,141,740.23/357,350.81
  6. Step 6: Final answer
    x = 279,165.85

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1.5x scale

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.