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Finding the Fourth Proportional to 403,079.16, 604,852.38 and 203,415.16

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Solution

The fourth proportional to 403,079.16, 604,852.38 and 203,415.16 is: 305,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,079.16 : 604,852.38 = 203,415.16 : x
  2. Step 2: Convert to fraction form
    403,079.16/604,852.38 = 203,415.16/x
  3. Step 3: Cross multiply
    403,079.16x = 604,852.38 × 203,415.16
  4. Step 4: Simplify right side
    403,079.16x = 123,036,143,654.08
  5. Step 5: Solve for x
    x = 123,036,143,654.08/403,079.16
  6. Step 6: Final answer
    x = 305,240.65

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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.