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Finding the Fourth Proportional to 507,935.40, 762,009.66 and 192,385.32

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Solution

The fourth proportional to 507,935.40, 762,009.66 and 192,385.32 is: 288,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,935.40 : 762,009.66 = 192,385.32 : x
  2. Step 2: Convert to fraction form
    507,935.40/762,009.66 = 192,385.32/x
  3. Step 3: Cross multiply
    507,935.40x = 762,009.66 × 192,385.32
  4. Step 4: Simplify right side
    507,935.40x = 146,599,472,282.19
  5. Step 5: Solve for x
    x = 146,599,472,282.19/507,935.40
  6. Step 6: Final answer
    x = 288,618.34

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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.