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Finding the Fourth Proportional to 326,417.60, 488,970.30 and 220,129.40

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Solution

The fourth proportional to 326,417.60, 488,970.30 and 220,129.40 is: 329,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,417.60 : 488,970.30 = 220,129.40 : x
  2. Step 2: Convert to fraction form
    326,417.60/488,970.30 = 220,129.40/x
  3. Step 3: Cross multiply
    326,417.60x = 488,970.30 × 220,129.40
  4. Step 4: Simplify right side
    326,417.60x = 107,636,738,756.82
  5. Step 5: Solve for x
    x = 107,636,738,756.82/326,417.60
  6. Step 6: Final answer
    x = 329,751.64

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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.