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Finding the Fourth Proportional to 390,999, 586,504.26 and 95,511

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Solution

The fourth proportional to 390,999, 586,504.26 and 95,511 is: 143,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,999 : 586,504.26 = 95,511 : x
  2. Step 2: Convert to fraction form
    390,999/586,504.26 = 95,511/x
  3. Step 3: Cross multiply
    390,999x = 586,504.26 × 95,511
  4. Step 4: Simplify right side
    390,999x = 56,017,608,376.86
  5. Step 5: Solve for x
    x = 56,017,608,376.86/390,999
  6. Step 6: Final answer
    x = 143,267.91

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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.