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Finding the Fourth Proportional to 654,345.10, 980,788.65 and 254,853.10

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Solution

The fourth proportional to 654,345.10, 980,788.65 and 254,853.10 is: 381,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,345.10 : 980,788.65 = 254,853.10 : x
  2. Step 2: Convert to fraction form
    654,345.10/980,788.65 = 254,853.10/x
  3. Step 3: Cross multiply
    654,345.10x = 980,788.65 × 254,853.10
  4. Step 4: Simplify right side
    654,345.10x = 249,957,027,897.32
  5. Step 5: Solve for x
    x = 249,957,027,897.32/654,345.10
  6. Step 6: Final answer
    x = 381,995.72

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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.