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Finding the Fourth Proportional to 978,453.46, 1,468,144.02 and 472,730.98

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Solution

The fourth proportional to 978,453.46, 1,468,144.02 and 472,730.98 is: 709,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,453.46 : 1,468,144.02 = 472,730.98 : x
  2. Step 2: Convert to fraction form
    978,453.46/1,468,144.02 = 472,730.98/x
  3. Step 3: Cross multiply
    978,453.46x = 1,468,144.02 × 472,730.98
  4. Step 4: Simplify right side
    978,453.46x = 694,037,161,355.74
  5. Step 5: Solve for x
    x = 694,037,161,355.74/978,453.46
  6. Step 6: Final answer
    x = 709,320.57

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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.