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Finding the Fourth Proportional to 442,641.30, 662,977.80 and 342,476.70

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Solution

The fourth proportional to 442,641.30, 662,977.80 and 342,476.70 is: 512,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,641.30 : 662,977.80 = 342,476.70 : x
  2. Step 2: Convert to fraction form
    442,641.30/662,977.80 = 342,476.70/x
  3. Step 3: Cross multiply
    442,641.30x = 662,977.80 × 342,476.70
  4. Step 4: Simplify right side
    442,641.30x = 227,054,449,117.26
  5. Step 5: Solve for x
    x = 227,054,449,117.26/442,641.30
  6. Step 6: Final answer
    x = 512,953.60

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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.