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Finding the Fourth Proportional to 330,002.40, 494,420.40 and 309,007.20

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Solution

The fourth proportional to 330,002.40, 494,420.40 and 309,007.20 is: 462,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,002.40 : 494,420.40 = 309,007.20 : x
  2. Step 2: Convert to fraction form
    330,002.40/494,420.40 = 309,007.20/x
  3. Step 3: Cross multiply
    330,002.40x = 494,420.40 × 309,007.20
  4. Step 4: Simplify right side
    330,002.40x = 152,779,463,426.88
  5. Step 5: Solve for x
    x = 152,779,463,426.88/330,002.40
  6. Step 6: Final answer
    x = 462,964.70

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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.