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Finding the Fourth Proportional to 286,998, 430,566.12 and 90,006

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Solution

The fourth proportional to 286,998, 430,566.12 and 90,006 is: 135,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,998 : 430,566.12 = 90,006 : x
  2. Step 2: Convert to fraction form
    286,998/430,566.12 = 90,006/x
  3. Step 3: Cross multiply
    286,998x = 430,566.12 × 90,006
  4. Step 4: Simplify right side
    286,998x = 38,753,534,196.72
  5. Step 5: Solve for x
    x = 38,753,534,196.72/286,998
  6. Step 6: Final answer
    x = 135,030.68

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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.