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Finding the Fourth Proportional to 338,515.20, 507,772.80 and 307,411.20

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Solution

The fourth proportional to 338,515.20, 507,772.80 and 307,411.20 is: 461,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,515.20 : 507,772.80 = 307,411.20 : x
  2. Step 2: Convert to fraction form
    338,515.20/507,772.80 = 307,411.20/x
  3. Step 3: Cross multiply
    338,515.20x = 507,772.80 × 307,411.20
  4. Step 4: Simplify right side
    338,515.20x = 156,095,045,775.36
  5. Step 5: Solve for x
    x = 156,095,045,775.36/338,515.20
  6. Step 6: Final answer
    x = 461,116.80

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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.