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Finding the Fourth Proportional to 401,781.10, 602,671.66 and 313,100.98

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Solution

The fourth proportional to 401,781.10, 602,671.66 and 313,100.98 is: 469,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,781.10 : 602,671.66 = 313,100.98 : x
  2. Step 2: Convert to fraction form
    401,781.10/602,671.66 = 313,100.98/x
  3. Step 3: Cross multiply
    401,781.10x = 602,671.66 × 313,100.98
  4. Step 4: Simplify right side
    401,781.10x = 188,697,087,364.23
  5. Step 5: Solve for x
    x = 188,697,087,364.23/401,781.10
  6. Step 6: Final answer
    x = 469,651.48

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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.