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Finding the Fourth Proportional to 311,920.40, 467,880.60 and 292,237.40

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Solution

The fourth proportional to 311,920.40, 467,880.60 and 292,237.40 is: 438,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,920.40 : 467,880.60 = 292,237.40 : x
  2. Step 2: Convert to fraction form
    311,920.40/467,880.60 = 292,237.40/x
  3. Step 3: Cross multiply
    311,920.40x = 467,880.60 × 292,237.40
  4. Step 4: Simplify right side
    311,920.40x = 136,732,210,054.44
  5. Step 5: Solve for x
    x = 136,732,210,054.44/311,920.40
  6. Step 6: Final answer
    x = 438,356.10

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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.