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Finding the Fourth Proportional to 286,624.77, 429,998.30 and 97,078.49

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Solution

The fourth proportional to 286,624.77, 429,998.30 and 97,078.49 is: 145,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,624.77 : 429,998.30 = 97,078.49 : x
  2. Step 2: Convert to fraction form
    286,624.77/429,998.30 = 97,078.49/x
  3. Step 3: Cross multiply
    286,624.77x = 429,998.30 × 97,078.49
  4. Step 4: Simplify right side
    286,624.77x = 41,743,585,666.57
  5. Step 5: Solve for x
    x = 41,743,585,666.57/286,624.77
  6. Step 6: Final answer
    x = 145,638.44

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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.