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Finding the Fourth Proportional to 401,320.40, 602,080.82 and 283,222.40

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Solution

The fourth proportional to 401,320.40, 602,080.82 and 283,222.40 is: 424,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,320.40 : 602,080.82 = 283,222.40 : x
  2. Step 2: Convert to fraction form
    401,320.40/602,080.82 = 283,222.40/x
  3. Step 3: Cross multiply
    401,320.40x = 602,080.82 × 283,222.40
  4. Step 4: Simplify right side
    401,320.40x = 170,522,770,407.85
  5. Step 5: Solve for x
    x = 170,522,770,407.85/401,320.40
  6. Step 6: Final answer
    x = 424,904.32

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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.