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Finding the Fourth Proportional to 313,009.89, 469,552.10 and 99,702.91

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Solution

The fourth proportional to 313,009.89, 469,552.10 and 99,702.91 is: 149,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,009.89 : 469,552.10 = 99,702.91 : x
  2. Step 2: Convert to fraction form
    313,009.89/469,552.10 = 99,702.91/x
  3. Step 3: Cross multiply
    313,009.89x = 469,552.10 × 99,702.91
  4. Step 4: Simplify right side
    313,009.89x = 46,815,709,094.22
  5. Step 5: Solve for x
    x = 46,815,709,094.22/313,009.89
  6. Step 6: Final answer
    x = 149,566.23

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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.