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Finding the Fourth Proportional to 328,416.90, 492,042.15 and 307,421.70

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Solution

The fourth proportional to 328,416.90, 492,042.15 and 307,421.70 is: 460,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,416.90 : 492,042.15 = 307,421.70 : x
  2. Step 2: Convert to fraction form
    328,416.90/492,042.15 = 307,421.70/x
  3. Step 3: Cross multiply
    328,416.90x = 492,042.15 × 307,421.70
  4. Step 4: Simplify right side
    328,416.90x = 151,264,434,224.66
  5. Step 5: Solve for x
    x = 151,264,434,224.66/328,416.90
  6. Step 6: Final answer
    x = 460,586.63

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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.