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Finding the Fourth Proportional to 560,147.24, 772,993.86 and 305,483.24

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Solution

The fourth proportional to 560,147.24, 772,993.86 and 305,483.24 is: 421,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,147.24 : 772,993.86 = 305,483.24 : x
  2. Step 2: Convert to fraction form
    560,147.24/772,993.86 = 305,483.24/x
  3. Step 3: Cross multiply
    560,147.24x = 772,993.86 × 305,483.24
  4. Step 4: Simplify right side
    560,147.24x = 236,136,668,852.91
  5. Step 5: Solve for x
    x = 236,136,668,852.91/560,147.24
  6. Step 6: Final answer
    x = 421,561.78

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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.