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Finding the Fourth Proportional to 562,858.20, 776,743.02 and 308,207.16

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Solution

The fourth proportional to 562,858.20, 776,743.02 and 308,207.16 is: 425,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,858.20 : 776,743.02 = 308,207.16 : x
  2. Step 2: Convert to fraction form
    562,858.20/776,743.02 = 308,207.16/x
  3. Step 3: Cross multiply
    562,858.20x = 776,743.02 × 308,207.16
  4. Step 4: Simplify right side
    562,858.20x = 239,397,760,244.02
  5. Step 5: Solve for x
    x = 239,397,760,244.02/562,858.20
  6. Step 6: Final answer
    x = 425,325.17

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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.