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Finding the Fourth Proportional to 430,617.60, 645,926.40 and 337,203.20

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Solution

The fourth proportional to 430,617.60, 645,926.40 and 337,203.20 is: 505,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,617.60 : 645,926.40 = 337,203.20 : x
  2. Step 2: Convert to fraction form
    430,617.60/645,926.40 = 337,203.20/x
  3. Step 3: Cross multiply
    430,617.60x = 645,926.40 × 337,203.20
  4. Step 4: Simplify right side
    430,617.60x = 217,808,449,044.48
  5. Step 5: Solve for x
    x = 217,808,449,044.48/430,617.60
  6. Step 6: Final answer
    x = 505,804.80

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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.