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Finding the Fourth Proportional to 578,973.84, 868,462.74 and 409,983

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Solution

The fourth proportional to 578,973.84, 868,462.74 and 409,983 is: 614,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,973.84 : 868,462.74 = 409,983 : x
  2. Step 2: Convert to fraction form
    578,973.84/868,462.74 = 409,983/x
  3. Step 3: Cross multiply
    578,973.84x = 868,462.74 × 409,983
  4. Step 4: Simplify right side
    578,973.84x = 356,054,959,533.42
  5. Step 5: Solve for x
    x = 356,054,959,533.42/578,973.84
  6. Step 6: Final answer
    x = 614,975.90

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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.