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Finding the Fourth Proportional to 326,513.60, 489,165.60 and 185,854.40

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Solution

The fourth proportional to 326,513.60, 489,165.60 and 185,854.40 is: 278,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,513.60 : 489,165.60 = 185,854.40 : x
  2. Step 2: Convert to fraction form
    326,513.60/489,165.60 = 185,854.40/x
  3. Step 3: Cross multiply
    326,513.60x = 489,165.60 × 185,854.40
  4. Step 4: Simplify right side
    326,513.60x = 90,913,579,088.64
  5. Step 5: Solve for x
    x = 90,913,579,088.64/326,513.60
  6. Step 6: Final answer
    x = 278,437.34

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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.