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Finding the Fourth Proportional to 403,840.65, 601,277.52 and 398,185.50

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Solution

The fourth proportional to 403,840.65, 601,277.52 and 398,185.50 is: 592,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,840.65 : 601,277.52 = 398,185.50 : x
  2. Step 2: Convert to fraction form
    403,840.65/601,277.52 = 398,185.50/x
  3. Step 3: Cross multiply
    403,840.65x = 601,277.52 × 398,185.50
  4. Step 4: Simplify right side
    403,840.65x = 239,419,989,939.96
  5. Step 5: Solve for x
    x = 239,419,989,939.96/403,840.65
  6. Step 6: Final answer
    x = 592,857.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.