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Finding the Fourth Proportional to 578,725.60, 867,796.80 and 342,140.80

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Solution

The fourth proportional to 578,725.60, 867,796.80 and 342,140.80 is: 513,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,725.60 : 867,796.80 = 342,140.80 : x
  2. Step 2: Convert to fraction form
    578,725.60/867,796.80 = 342,140.80/x
  3. Step 3: Cross multiply
    578,725.60x = 867,796.80 × 342,140.80
  4. Step 4: Simplify right side
    578,725.60x = 296,908,691,389.44
  5. Step 5: Solve for x
    x = 296,908,691,389.44/578,725.60
  6. Step 6: Final answer
    x = 513,038.81

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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.