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Finding the Fourth Proportional to 386,250, 532,907.64 and 243,152.88

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Solution

The fourth proportional to 386,250, 532,907.64 and 243,152.88 is: 335,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,250 : 532,907.64 = 243,152.88 : x
  2. Step 2: Convert to fraction form
    386,250/532,907.64 = 243,152.88/x
  3. Step 3: Cross multiply
    386,250x = 532,907.64 × 243,152.88
  4. Step 4: Simplify right side
    386,250x = 129,578,027,440.00
  5. Step 5: Solve for x
    x = 129,578,027,440.00/386,250
  6. Step 6: Final answer
    x = 335,477.09

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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.