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Finding the Fourth Proportional to 562,727.32, 776,637.65 and 320,954.47

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Solution

The fourth proportional to 562,727.32, 776,637.65 and 320,954.47 is: 442,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,727.32 : 776,637.65 = 320,954.47 : x
  2. Step 2: Convert to fraction form
    562,727.32/776,637.65 = 320,954.47/x
  3. Step 3: Cross multiply
    562,727.32x = 776,637.65 × 320,954.47
  4. Step 4: Simplify right side
    562,727.32x = 249,265,324,198.59
  5. Step 5: Solve for x
    x = 249,265,324,198.59/562,727.32
  6. Step 6: Final answer
    x = 442,959.35

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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.