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Finding the Fourth Proportional to 338,432.80, 507,649.20 and 319,079.20

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Solution

The fourth proportional to 338,432.80, 507,649.20 and 319,079.20 is: 478,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,432.80 : 507,649.20 = 319,079.20 : x
  2. Step 2: Convert to fraction form
    338,432.80/507,649.20 = 319,079.20/x
  3. Step 3: Cross multiply
    338,432.80x = 507,649.20 × 319,079.20
  4. Step 4: Simplify right side
    338,432.80x = 161,980,300,616.64
  5. Step 5: Solve for x
    x = 161,980,300,616.64/338,432.80
  6. Step 6: Final answer
    x = 478,618.80

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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.