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Finding the Fourth Proportional to 478,688.40, 717,048.45 and 329,097.60

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Solution

The fourth proportional to 478,688.40, 717,048.45 and 329,097.60 is: 492,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,688.40 : 717,048.45 = 329,097.60 : x
  2. Step 2: Convert to fraction form
    478,688.40/717,048.45 = 329,097.60/x
  3. Step 3: Cross multiply
    478,688.40x = 717,048.45 × 329,097.60
  4. Step 4: Simplify right side
    478,688.40x = 235,978,923,978.72
  5. Step 5: Solve for x
    x = 235,978,923,978.72/478,688.40
  6. Step 6: Final answer
    x = 492,969.80

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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.