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Finding the Fourth Proportional to 514,830.54, 709,678.59 and 361,438.41

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Solution

The fourth proportional to 514,830.54, 709,678.59 and 361,438.41 is: 498,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,830.54 : 709,678.59 = 361,438.41 : x
  2. Step 2: Convert to fraction form
    514,830.54/709,678.59 = 361,438.41/x
  3. Step 3: Cross multiply
    514,830.54x = 709,678.59 × 361,438.41
  4. Step 4: Simplify right side
    514,830.54x = 256,505,101,180.64
  5. Step 5: Solve for x
    x = 256,505,101,180.64/514,830.54
  6. Step 6: Final answer
    x = 498,232.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.