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Finding the Fourth Proportional to 309,501.90, 463,655.06 and 228,305.88

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Solution

The fourth proportional to 309,501.90, 463,655.06 and 228,305.88 is: 342,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,501.90 : 463,655.06 = 228,305.88 : x
  2. Step 2: Convert to fraction form
    309,501.90/463,655.06 = 228,305.88/x
  3. Step 3: Cross multiply
    309,501.90x = 463,655.06 × 228,305.88
  4. Step 4: Simplify right side
    309,501.90x = 105,855,175,348.22
  5. Step 5: Solve for x
    x = 105,855,175,348.22/309,501.90
  6. Step 6: Final answer
    x = 342,017.85

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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.