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Finding the Fourth Proportional to 480,868.36, 721,368.12 and 200,320

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Solution

The fourth proportional to 480,868.36, 721,368.12 and 200,320 is: 300,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,868.36 : 721,368.12 = 200,320 : x
  2. Step 2: Convert to fraction form
    480,868.36/721,368.12 = 200,320/x
  3. Step 3: Cross multiply
    480,868.36x = 721,368.12 × 200,320
  4. Step 4: Simplify right side
    480,868.36x = 144,504,461,798.40
  5. Step 5: Solve for x
    x = 144,504,461,798.40/480,868.36
  6. Step 6: Final answer
    x = 300,507.32

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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.