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Finding the Fourth Proportional to 328,420.90, 492,048.15 and 307,425.70

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Solution

The fourth proportional to 328,420.90, 492,048.15 and 307,425.70 is: 460,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,420.90 : 492,048.15 = 307,425.70 : x
  2. Step 2: Convert to fraction form
    328,420.90/492,048.15 = 307,425.70/x
  3. Step 3: Cross multiply
    328,420.90x = 492,048.15 × 307,425.70
  4. Step 4: Simplify right side
    328,420.90x = 151,268,246,947.46
  5. Step 5: Solve for x
    x = 151,268,246,947.46/328,420.90
  6. Step 6: Final answer
    x = 460,592.63

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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.