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Finding the Fourth Proportional to 420,614.40, 630,921.60 and 199,430.40

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Solution

The fourth proportional to 420,614.40, 630,921.60 and 199,430.40 is: 299,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,614.40 : 630,921.60 = 199,430.40 : x
  2. Step 2: Convert to fraction form
    420,614.40/630,921.60 = 199,430.40/x
  3. Step 3: Cross multiply
    420,614.40x = 630,921.60 × 199,430.40
  4. Step 4: Simplify right side
    420,614.40x = 125,824,947,056.64
  5. Step 5: Solve for x
    x = 125,824,947,056.64/420,614.40
  6. Step 6: Final answer
    x = 299,145.60

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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.