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Finding the Fourth Proportional to 360,455.92, 497,409.10 and 199,301.28

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Solution

The fourth proportional to 360,455.92, 497,409.10 and 199,301.28 is: 275,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,455.92 : 497,409.10 = 199,301.28 : x
  2. Step 2: Convert to fraction form
    360,455.92/497,409.10 = 199,301.28/x
  3. Step 3: Cross multiply
    360,455.92x = 497,409.10 × 199,301.28
  4. Step 4: Simplify right side
    360,455.92x = 99,134,270,313.65
  5. Step 5: Solve for x
    x = 99,134,270,313.65/360,455.92
  6. Step 6: Final answer
    x = 275,024.67

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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.