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Finding the Fourth Proportional to 480,294.36, 720,052.74 and 200,021.40

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Solution

The fourth proportional to 480,294.36, 720,052.74 and 200,021.40 is: 299,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,294.36 : 720,052.74 = 200,021.40 : x
  2. Step 2: Convert to fraction form
    480,294.36/720,052.74 = 200,021.40/x
  3. Step 3: Cross multiply
    480,294.36x = 720,052.74 × 200,021.40
  4. Step 4: Simplify right side
    480,294.36x = 144,025,957,128.64
  5. Step 5: Solve for x
    x = 144,025,957,128.64/480,294.36
  6. Step 6: Final answer
    x = 299,870.18

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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.