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Finding the Fourth Proportional to 642,858.89, 964,423.19 and 243,490.82

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Solution

The fourth proportional to 642,858.89, 964,423.19 and 243,490.82 is: 365,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,858.89 : 964,423.19 = 243,490.82 : x
  2. Step 2: Convert to fraction form
    642,858.89/964,423.19 = 243,490.82/x
  3. Step 3: Cross multiply
    642,858.89x = 964,423.19 × 243,490.82
  4. Step 4: Simplify right side
    642,858.89x = 234,828,189,146.73
  5. Step 5: Solve for x
    x = 234,828,189,146.73/642,858.89
  6. Step 6: Final answer
    x = 365,287.30

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1.5x scale

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.