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Finding the Fourth Proportional to 405,454.48, 559,510.68 and 224,154.88

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Solution

The fourth proportional to 405,454.48, 559,510.68 and 224,154.88 is: 309,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,454.48 : 559,510.68 = 224,154.88 : x
  2. Step 2: Convert to fraction form
    405,454.48/559,510.68 = 224,154.88/x
  3. Step 3: Cross multiply
    405,454.48x = 559,510.68 × 224,154.88
  4. Step 4: Simplify right side
    405,454.48x = 125,417,049,334.12
  5. Step 5: Solve for x
    x = 125,417,049,334.12/405,454.48
  6. Step 6: Final answer
    x = 309,324.61

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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.