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Finding the Fourth Proportional to 326,384.34, 489,109.95 and 185,852.58

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Solution

The fourth proportional to 326,384.34, 489,109.95 and 185,852.58 is: 278,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,384.34 : 489,109.95 = 185,852.58 : x
  2. Step 2: Convert to fraction form
    326,384.34/489,109.95 = 185,852.58/x
  3. Step 3: Cross multiply
    326,384.34x = 489,109.95 × 185,852.58
  4. Step 4: Simplify right side
    326,384.34x = 90,902,346,111.17
  5. Step 5: Solve for x
    x = 90,902,346,111.17/326,384.34
  6. Step 6: Final answer
    x = 278,513.20

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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.