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Finding the Fourth Proportional to 405,838.80, 560,074.05 and 224,547.78

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Solution

The fourth proportional to 405,838.80, 560,074.05 and 224,547.78 is: 309,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,838.80 : 560,074.05 = 224,547.78 : x
  2. Step 2: Convert to fraction form
    405,838.80/560,074.05 = 224,547.78/x
  3. Step 3: Cross multiply
    405,838.80x = 560,074.05 × 224,547.78
  4. Step 4: Simplify right side
    405,838.80x = 125,763,384,563.11
  5. Step 5: Solve for x
    x = 125,763,384,563.11/405,838.80
  6. Step 6: Final answer
    x = 309,885.07

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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.