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Finding the Fourth Proportional to 390,999.40, 586,110.30 and 180,269.80

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Solution

The fourth proportional to 390,999.40, 586,110.30 and 180,269.80 is: 270,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,999.40 : 586,110.30 = 180,269.80 : x
  2. Step 2: Convert to fraction form
    390,999.40/586,110.30 = 180,269.80/x
  3. Step 3: Cross multiply
    390,999.40x = 586,110.30 × 180,269.80
  4. Step 4: Simplify right side
    390,999.40x = 105,657,986,558.94
  5. Step 5: Solve for x
    x = 105,657,986,558.94/390,999.40
  6. Step 6: Final answer
    x = 270,225.44

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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.