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Finding the Fourth Proportional to 312,985.22, 469,514.54 and 99,678.40

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Solution

The fourth proportional to 312,985.22, 469,514.54 and 99,678.40 is: 149,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,985.22 : 469,514.54 = 99,678.40 : x
  2. Step 2: Convert to fraction form
    312,985.22/469,514.54 = 99,678.40/x
  3. Step 3: Cross multiply
    312,985.22x = 469,514.54 × 99,678.40
  4. Step 4: Simplify right side
    312,985.22x = 46,800,457,199.35
  5. Step 5: Solve for x
    x = 46,800,457,199.35/312,985.22
  6. Step 6: Final answer
    x = 149,529.29

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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.