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Finding the Fourth Proportional to 309,530.66, 464,296.65 and 84,894.30

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Solution

The fourth proportional to 309,530.66, 464,296.65 and 84,894.30 is: 127,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,530.66 : 464,296.65 = 84,894.30 : x
  2. Step 2: Convert to fraction form
    309,530.66/464,296.65 = 84,894.30/x
  3. Step 3: Cross multiply
    309,530.66x = 464,296.65 × 84,894.30
  4. Step 4: Simplify right side
    309,530.66x = 39,416,139,094.10
  5. Step 5: Solve for x
    x = 39,416,139,094.10/309,530.66
  6. Step 6: Final answer
    x = 127,341.63

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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.