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Finding the Fourth Proportional to 714,659.94, 986,186.52 and 392,368.22

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Solution

The fourth proportional to 714,659.94, 986,186.52 and 392,368.22 is: 541,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,659.94 : 986,186.52 = 392,368.22 : x
  2. Step 2: Convert to fraction form
    714,659.94/986,186.52 = 392,368.22/x
  3. Step 3: Cross multiply
    714,659.94x = 986,186.52 × 392,368.22
  4. Step 4: Simplify right side
    714,659.94x = 386,948,249,440.39
  5. Step 5: Solve for x
    x = 386,948,249,440.39/714,659.94
  6. Step 6: Final answer
    x = 541,443.88

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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.