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Finding the Fourth Proportional to 326,038.78, 489,002.10 and 86,155.30

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Solution

The fourth proportional to 326,038.78, 489,002.10 and 86,155.30 is: 129,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,038.78 : 489,002.10 = 86,155.30 : x
  2. Step 2: Convert to fraction form
    326,038.78/489,002.10 = 86,155.30/x
  3. Step 3: Cross multiply
    326,038.78x = 489,002.10 × 86,155.30
  4. Step 4: Simplify right side
    326,038.78x = 42,130,122,626.13
  5. Step 5: Solve for x
    x = 42,130,122,626.13/326,038.78
  6. Step 6: Final answer
    x = 129,218.13

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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.