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Finding the Fourth Proportional to 802,239.12, 1,203,203.16 and 303,642

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Solution

The fourth proportional to 802,239.12, 1,203,203.16 and 303,642 is: 455,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,239.12 : 1,203,203.16 = 303,642 : x
  2. Step 2: Convert to fraction form
    802,239.12/1,203,203.16 = 303,642/x
  3. Step 3: Cross multiply
    802,239.12x = 1,203,203.16 × 303,642
  4. Step 4: Simplify right side
    802,239.12x = 365,343,013,908.72
  5. Step 5: Solve for x
    x = 365,343,013,908.72/802,239.12
  6. Step 6: Final answer
    x = 455,404.14

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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.