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Finding the Fourth Proportional to 326,133.80, 489,200.70 and 139,509.80

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Solution

The fourth proportional to 326,133.80, 489,200.70 and 139,509.80 is: 209,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,133.80 : 489,200.70 = 139,509.80 : x
  2. Step 2: Convert to fraction form
    326,133.80/489,200.70 = 139,509.80/x
  3. Step 3: Cross multiply
    326,133.80x = 489,200.70 × 139,509.80
  4. Step 4: Simplify right side
    326,133.80x = 68,248,291,816.86
  5. Step 5: Solve for x
    x = 68,248,291,816.86/326,133.80
  6. Step 6: Final answer
    x = 209,264.70

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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.