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Finding the Fourth Proportional to 328,046.90, 492,070.35 and 209,851.70

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Solution

The fourth proportional to 328,046.90, 492,070.35 and 209,851.70 is: 314,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,046.90 : 492,070.35 = 209,851.70 : x
  2. Step 2: Convert to fraction form
    328,046.90/492,070.35 = 209,851.70/x
  3. Step 3: Cross multiply
    328,046.90x = 492,070.35 × 209,851.70
  4. Step 4: Simplify right side
    328,046.90x = 103,261,799,467.10
  5. Step 5: Solve for x
    x = 103,261,799,467.10/328,046.90
  6. Step 6: Final answer
    x = 314,777.55

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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.