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Finding the Fourth Proportional to 459,323.53, 688,940.74 and 139,478.16

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Solution

The fourth proportional to 459,323.53, 688,940.74 and 139,478.16 is: 209,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,323.53 : 688,940.74 = 139,478.16 : x
  2. Step 2: Convert to fraction form
    459,323.53/688,940.74 = 139,478.16/x
  3. Step 3: Cross multiply
    459,323.53x = 688,940.74 × 139,478.16
  4. Step 4: Simplify right side
    459,323.53x = 96,092,186,764.24
  5. Step 5: Solve for x
    x = 96,092,186,764.24/459,323.53
  6. Step 6: Final answer
    x = 209,203.71

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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.