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Finding the Fourth Proportional to 405,905, 560,140.50 and 224,616.80

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Solution

The fourth proportional to 405,905, 560,140.50 and 224,616.80 is: 309,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,905 : 560,140.50 = 224,616.80 : x
  2. Step 2: Convert to fraction form
    405,905/560,140.50 = 224,616.80/x
  3. Step 3: Cross multiply
    405,905x = 560,140.50 × 224,616.80
  4. Step 4: Simplify right side
    405,905x = 125,816,966,660.40
  5. Step 5: Solve for x
    x = 125,816,966,660.40/405,905
  6. Step 6: Final answer
    x = 309,966.54

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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.