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Finding the Fourth Proportional to 519,314.90, 778,972.35 and 342,022.10

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Solution

The fourth proportional to 519,314.90, 778,972.35 and 342,022.10 is: 513,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,314.90 : 778,972.35 = 342,022.10 : x
  2. Step 2: Convert to fraction form
    519,314.90/778,972.35 = 342,022.10/x
  3. Step 3: Cross multiply
    519,314.90x = 778,972.35 × 342,022.10
  4. Step 4: Simplify right side
    519,314.90x = 266,425,758,988.94
  5. Step 5: Solve for x
    x = 266,425,758,988.94/519,314.90
  6. Step 6: Final answer
    x = 513,033.15

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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.