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Finding the Fourth Proportional to 420,258.48, 630,029.40 and 183,424.08

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Solution

The fourth proportional to 420,258.48, 630,029.40 and 183,424.08 is: 274,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,258.48 : 630,029.40 = 183,424.08 : x
  2. Step 2: Convert to fraction form
    420,258.48/630,029.40 = 183,424.08/x
  3. Step 3: Cross multiply
    420,258.48x = 630,029.40 × 183,424.08
  4. Step 4: Simplify right side
    420,258.48x = 115,562,563,067.95
  5. Step 5: Solve for x
    x = 115,562,563,067.95/420,258.48
  6. Step 6: Final answer
    x = 274,979.73

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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.