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Finding the Fourth Proportional to 562,513.77, 776,115.23 and 320,708.16

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Solution

The fourth proportional to 562,513.77, 776,115.23 and 320,708.16 is: 442,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,513.77 : 776,115.23 = 320,708.16 : x
  2. Step 2: Convert to fraction form
    562,513.77/776,115.23 = 320,708.16/x
  3. Step 3: Cross multiply
    562,513.77x = 776,115.23 × 320,708.16
  4. Step 4: Simplify right side
    562,513.77x = 248,906,485,757.74
  5. Step 5: Solve for x
    x = 248,906,485,757.74/562,513.77
  6. Step 6: Final answer
    x = 442,489.59

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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.