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Finding the Fourth Proportional to 420,147.60, 630,221.40 and 243,000.60

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Solution

The fourth proportional to 420,147.60, 630,221.40 and 243,000.60 is: 364,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,147.60 : 630,221.40 = 243,000.60 : x
  2. Step 2: Convert to fraction form
    420,147.60/630,221.40 = 243,000.60/x
  3. Step 3: Cross multiply
    420,147.60x = 630,221.40 × 243,000.60
  4. Step 4: Simplify right side
    420,147.60x = 153,144,178,332.84
  5. Step 5: Solve for x
    x = 153,144,178,332.84/420,147.60
  6. Step 6: Final answer
    x = 364,500.90

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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.