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Finding the Fourth Proportional to 600,378.84, 899,384.82 and 488,185.74

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Solution

The fourth proportional to 600,378.84, 899,384.82 and 488,185.74 is: 731,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,378.84 : 899,384.82 = 488,185.74 : x
  2. Step 2: Convert to fraction form
    600,378.84/899,384.82 = 488,185.74/x
  3. Step 3: Cross multiply
    600,378.84x = 899,384.82 × 488,185.74
  4. Step 4: Simplify right side
    600,378.84x = 439,066,843,896.47
  5. Step 5: Solve for x
    x = 439,066,843,896.47/600,378.84
  6. Step 6: Final answer
    x = 731,316.32

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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.