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Finding the Fourth Proportional to 309,614.40, 464,421.60 and 183,643.20

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Solution

The fourth proportional to 309,614.40, 464,421.60 and 183,643.20 is: 275,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,614.40 : 464,421.60 = 183,643.20 : x
  2. Step 2: Convert to fraction form
    309,614.40/464,421.60 = 183,643.20/x
  3. Step 3: Cross multiply
    309,614.40x = 464,421.60 × 183,643.20
  4. Step 4: Simplify right side
    309,614.40x = 85,287,868,773.12
  5. Step 5: Solve for x
    x = 85,287,868,773.12/309,614.40
  6. Step 6: Final answer
    x = 275,464.80

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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.