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Finding the Fourth Proportional to 508,259.84, 701,482.56 and 281,978.24

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Solution

The fourth proportional to 508,259.84, 701,482.56 and 281,978.24 is: 389,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,259.84 : 701,482.56 = 281,978.24 : x
  2. Step 2: Convert to fraction form
    508,259.84/701,482.56 = 281,978.24/x
  3. Step 3: Cross multiply
    508,259.84x = 701,482.56 × 281,978.24
  4. Step 4: Simplify right side
    508,259.84x = 197,802,817,659.49
  5. Step 5: Solve for x
    x = 197,802,817,659.49/508,259.84
  6. Step 6: Final answer
    x = 389,176.56

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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.