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Finding the Fourth Proportional to 714,394.22, 985,862.72 and 408,476.35

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Solution

The fourth proportional to 714,394.22, 985,862.72 and 408,476.35 is: 563,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,394.22 : 985,862.72 = 408,476.35 : x
  2. Step 2: Convert to fraction form
    714,394.22/985,862.72 = 408,476.35/x
  3. Step 3: Cross multiply
    714,394.22x = 985,862.72 × 408,476.35
  4. Step 4: Simplify right side
    714,394.22x = 402,701,598,494.98
  5. Step 5: Solve for x
    x = 402,701,598,494.98/714,394.22
  6. Step 6: Final answer
    x = 563,696.61

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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.