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Finding the Fourth Proportional to 405,770.72, 559,980.12 and 224,479.52

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Solution

The fourth proportional to 405,770.72, 559,980.12 and 224,479.52 is: 309,790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,770.72 : 559,980.12 = 224,479.52 : x
  2. Step 2: Convert to fraction form
    405,770.72/559,980.12 = 224,479.52/x
  3. Step 3: Cross multiply
    405,770.72x = 559,980.12 × 224,479.52
  4. Step 4: Simplify right side
    405,770.72x = 125,704,068,547.14
  5. Step 5: Solve for x
    x = 125,704,068,547.14/405,770.72
  6. Step 6: Final answer
    x = 309,790.88

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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.