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Finding the Fourth Proportional to 339,970.10, 509,955.15 and 318,974.90

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Solution

The fourth proportional to 339,970.10, 509,955.15 and 318,974.90 is: 478,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,970.10 : 509,955.15 = 318,974.90 : x
  2. Step 2: Convert to fraction form
    339,970.10/509,955.15 = 318,974.90/x
  3. Step 3: Cross multiply
    339,970.10x = 509,955.15 × 318,974.90
  4. Step 4: Simplify right side
    339,970.10x = 162,662,892,975.74
  5. Step 5: Solve for x
    x = 162,662,892,975.74/339,970.10
  6. Step 6: Final answer
    x = 478,462.35

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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.