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Finding the Fourth Proportional to 420,098.40, 630,147.60 and 153,770.40

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Solution

The fourth proportional to 420,098.40, 630,147.60 and 153,770.40 is: 230,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,098.40 : 630,147.60 = 153,770.40 : x
  2. Step 2: Convert to fraction form
    420,098.40/630,147.60 = 153,770.40/x
  3. Step 3: Cross multiply
    420,098.40x = 630,147.60 × 153,770.40
  4. Step 4: Simplify right side
    420,098.40x = 96,898,048,511.04
  5. Step 5: Solve for x
    x = 96,898,048,511.04/420,098.40
  6. Step 6: Final answer
    x = 230,655.60

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1.5x scale

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.