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Finding the Fourth Proportional to 605,123.92, 907,784.40 and 178,702.88

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Solution

The fourth proportional to 605,123.92, 907,784.40 and 178,702.88 is: 268,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,123.92 : 907,784.40 = 178,702.88 : x
  2. Step 2: Convert to fraction form
    605,123.92/907,784.40 = 178,702.88/x
  3. Step 3: Cross multiply
    605,123.92x = 907,784.40 × 178,702.88
  4. Step 4: Simplify right side
    605,123.92x = 162,223,686,699.07
  5. Step 5: Solve for x
    x = 162,223,686,699.07/605,123.92
  6. Step 6: Final answer
    x = 268,083.41

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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.