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Finding the Fourth Proportional to 687,852, 949,235.76 and 386,046

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Solution

The fourth proportional to 687,852, 949,235.76 and 386,046 is: 532,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,852 : 949,235.76 = 386,046 : x
  2. Step 2: Convert to fraction form
    687,852/949,235.76 = 386,046/x
  3. Step 3: Cross multiply
    687,852x = 949,235.76 × 386,046
  4. Step 4: Simplify right side
    687,852x = 366,448,668,204.96
  5. Step 5: Solve for x
    x = 366,448,668,204.96/687,852
  6. Step 6: Final answer
    x = 532,743.48

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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.