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Finding the Fourth Proportional to 355,257.60, 532,886.40 and 309,638.40

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Solution

The fourth proportional to 355,257.60, 532,886.40 and 309,638.40 is: 464,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,257.60 : 532,886.40 = 309,638.40 : x
  2. Step 2: Convert to fraction form
    355,257.60/532,886.40 = 309,638.40/x
  3. Step 3: Cross multiply
    355,257.60x = 532,886.40 × 309,638.40
  4. Step 4: Simplify right side
    355,257.60x = 165,002,092,277.76
  5. Step 5: Solve for x
    x = 165,002,092,277.76/355,257.60
  6. Step 6: Final answer
    x = 464,457.60

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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.