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Finding the Fourth Proportional to 312,985.33, 469,526.86 and 99,801.02

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Solution

The fourth proportional to 312,985.33, 469,526.86 and 99,801.02 is: 149,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,985.33 : 469,526.86 = 99,801.02 : x
  2. Step 2: Convert to fraction form
    312,985.33/469,526.86 = 99,801.02/x
  3. Step 3: Cross multiply
    312,985.33x = 469,526.86 × 99,801.02
  4. Step 4: Simplify right side
    312,985.33x = 46,859,259,545.40
  5. Step 5: Solve for x
    x = 46,859,259,545.40/312,985.33
  6. Step 6: Final answer
    x = 149,717.11

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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.