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Finding the Fourth Proportional to 612,623.68, 918,935.84 and 233,456

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Solution

The fourth proportional to 612,623.68, 918,935.84 and 233,456 is: 350,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,623.68 : 918,935.84 = 233,456 : x
  2. Step 2: Convert to fraction form
    612,623.68/918,935.84 = 233,456/x
  3. Step 3: Cross multiply
    612,623.68x = 918,935.84 × 233,456
  4. Step 4: Simplify right side
    612,623.68x = 214,531,085,463.04
  5. Step 5: Solve for x
    x = 214,531,085,463.04/612,623.68
  6. Step 6: Final answer
    x = 350,184.12

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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.