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Finding the Fourth Proportional to 298,654.40, 447,981.60 and 77,038.40

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Solution

The fourth proportional to 298,654.40, 447,981.60 and 77,038.40 is: 115,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,654.40 : 447,981.60 = 77,038.40 : x
  2. Step 2: Convert to fraction form
    298,654.40/447,981.60 = 77,038.40/x
  3. Step 3: Cross multiply
    298,654.40x = 447,981.60 × 77,038.40
  4. Step 4: Simplify right side
    298,654.40x = 34,511,785,693.44
  5. Step 5: Solve for x
    x = 34,511,785,693.44/298,654.40
  6. Step 6: Final answer
    x = 115,557.60

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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.