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Finding the Fourth Proportional to 317,936.98, 478,041.90 and 293,282.20

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Solution

The fourth proportional to 317,936.98, 478,041.90 and 293,282.20 is: 440,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,936.98 : 478,041.90 = 293,282.20 : x
  2. Step 2: Convert to fraction form
    317,936.98/478,041.90 = 293,282.20/x
  3. Step 3: Cross multiply
    317,936.98x = 478,041.90 × 293,282.20
  4. Step 4: Simplify right side
    317,936.98x = 140,201,180,124.18
  5. Step 5: Solve for x
    x = 140,201,180,124.18/317,936.98
  6. Step 6: Final answer
    x = 440,971.60

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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.