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Finding the Fourth Proportional to 326,113.16, 489,011.74 and 191,214.12

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Solution

The fourth proportional to 326,113.16, 489,011.74 and 191,214.12 is: 286,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,113.16 : 489,011.74 = 191,214.12 : x
  2. Step 2: Convert to fraction form
    326,113.16/489,011.74 = 191,214.12/x
  3. Step 3: Cross multiply
    326,113.16x = 489,011.74 × 191,214.12
  4. Step 4: Simplify right side
    326,113.16x = 93,505,949,533.77
  5. Step 5: Solve for x
    x = 93,505,949,533.77/326,113.16
  6. Step 6: Final answer
    x = 286,728.54

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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.