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Finding the Fourth Proportional to 257,338, 386,007 and 70,349.50

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Solution

The fourth proportional to 257,338, 386,007 and 70,349.50 is: 105,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,338 : 386,007 = 70,349.50 : x
  2. Step 2: Convert to fraction form
    257,338/386,007 = 70,349.50/x
  3. Step 3: Cross multiply
    257,338x = 386,007 × 70,349.50
  4. Step 4: Simplify right side
    257,338x = 27,155,399,446.50
  5. Step 5: Solve for x
    x = 27,155,399,446.50/257,338
  6. Step 6: Final answer
    x = 105,524.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.