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Finding the Fourth Proportional to 562,864.20, 776,751.30 and 308,213.16

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Solution

The fourth proportional to 562,864.20, 776,751.30 and 308,213.16 is: 425,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,864.20 : 776,751.30 = 308,213.16 : x
  2. Step 2: Convert to fraction form
    562,864.20/776,751.30 = 308,213.16/x
  3. Step 3: Cross multiply
    562,864.20x = 776,751.30 × 308,213.16
  4. Step 4: Simplify right side
    562,864.20x = 239,404,972,707.11
  5. Step 5: Solve for x
    x = 239,404,972,707.11/562,864.20
  6. Step 6: Final answer
    x = 425,333.45

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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.