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Finding the Fourth Proportional to 326,093.10, 489,139.65 and 148,946.10

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Solution

The fourth proportional to 326,093.10, 489,139.65 and 148,946.10 is: 223,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,093.10 : 489,139.65 = 148,946.10 : x
  2. Step 2: Convert to fraction form
    326,093.10/489,139.65 = 148,946.10/x
  3. Step 3: Cross multiply
    326,093.10x = 489,139.65 × 148,946.10
  4. Step 4: Simplify right side
    326,093.10x = 72,855,443,222.87
  5. Step 5: Solve for x
    x = 72,855,443,222.87/326,093.10
  6. Step 6: Final answer
    x = 223,419.15

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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.