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Finding the Fourth Proportional to 714,291.26, 985,718.84 and 392,006.57

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Solution

The fourth proportional to 714,291.26, 985,718.84 and 392,006.57 is: 540,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,291.26 : 985,718.84 = 392,006.57 : x
  2. Step 2: Convert to fraction form
    714,291.26/985,718.84 = 392,006.57/x
  3. Step 3: Cross multiply
    714,291.26x = 985,718.84 × 392,006.57
  4. Step 4: Simplify right side
    714,291.26x = 386,408,254,564.15
  5. Step 5: Solve for x
    x = 386,408,254,564.15/714,291.26
  6. Step 6: Final answer
    x = 540,967.36

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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.