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Finding the Fourth Proportional to 340,362, 510,776.28 and 118,746

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Solution

The fourth proportional to 340,362, 510,776.28 and 118,746 is: 178,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,362 : 510,776.28 = 118,746 : x
  2. Step 2: Convert to fraction form
    340,362/510,776.28 = 118,746/x
  3. Step 3: Cross multiply
    340,362x = 510,776.28 × 118,746
  4. Step 4: Simplify right side
    340,362x = 60,652,640,144.88
  5. Step 5: Solve for x
    x = 60,652,640,144.88/340,362
  6. Step 6: Final answer
    x = 178,200.39

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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.