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Finding the Fourth Proportional to 390,918.75, 586,379.34 and 95,430.75

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Solution

The fourth proportional to 390,918.75, 586,379.34 and 95,430.75 is: 143,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,918.75 : 586,379.34 = 95,430.75 : x
  2. Step 2: Convert to fraction form
    390,918.75/586,379.34 = 95,430.75/x
  3. Step 3: Cross multiply
    390,918.75x = 586,379.34 × 95,430.75
  4. Step 4: Simplify right side
    390,918.75x = 55,958,620,200.71
  5. Step 5: Solve for x
    x = 55,958,620,200.71/390,918.75
  6. Step 6: Final answer
    x = 143,146.42

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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.