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Finding the Fourth Proportional to 420,194.40, 630,218.70 and 153,817.80

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Solution

The fourth proportional to 420,194.40, 630,218.70 and 153,817.80 is: 230,700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,194.40 : 630,218.70 = 153,817.80 : x
  2. Step 2: Convert to fraction form
    420,194.40/630,218.70 = 153,817.80/x
  3. Step 3: Cross multiply
    420,194.40x = 630,218.70 × 153,817.80
  4. Step 4: Simplify right side
    420,194.40x = 96,938,853,952.86
  5. Step 5: Solve for x
    x = 96,938,853,952.86/420,194.40
  6. Step 6: Final answer
    x = 230,700.01

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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.