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Finding the Fourth Proportional to 312,478.48, 468,739.64 and 125,490

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Solution

The fourth proportional to 312,478.48, 468,739.64 and 125,490 is: 188,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,478.48 : 468,739.64 = 125,490 : x
  2. Step 2: Convert to fraction form
    312,478.48/468,739.64 = 125,490/x
  3. Step 3: Cross multiply
    312,478.48x = 468,739.64 × 125,490
  4. Step 4: Simplify right side
    312,478.48x = 58,822,137,423.60
  5. Step 5: Solve for x
    x = 58,822,137,423.60/312,478.48
  6. Step 6: Final answer
    x = 188,243.80

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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.