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Finding the Fourth Proportional to 562,746, 776,517.15 and 321,014.16

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Solution

The fourth proportional to 562,746, 776,517.15 and 321,014.16 is: 442,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,746 : 776,517.15 = 321,014.16 : x
  2. Step 2: Convert to fraction form
    562,746/776,517.15 = 321,014.16/x
  3. Step 3: Cross multiply
    562,746x = 776,517.15 × 321,014.16
  4. Step 4: Simplify right side
    562,746x = 249,273,000,632.84
  5. Step 5: Solve for x
    x = 249,273,000,632.84/562,746
  6. Step 6: Final answer
    x = 442,958.28

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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.