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Finding the Fourth Proportional to 488,768.40, 732,569.40 and 204,458.40

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Solution

The fourth proportional to 488,768.40, 732,569.40 and 204,458.40 is: 306,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,768.40 : 732,569.40 = 204,458.40 : x
  2. Step 2: Convert to fraction form
    488,768.40/732,569.40 = 204,458.40/x
  3. Step 3: Cross multiply
    488,768.40x = 732,569.40 × 204,458.40
  4. Step 4: Simplify right side
    488,768.40x = 149,779,967,412.96
  5. Step 5: Solve for x
    x = 149,779,967,412.96/488,768.40
  6. Step 6: Final answer
    x = 306,443.64

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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.