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Finding the Fourth Proportional to 338,409.30, 507,614.58 and 138,693.96

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Solution

The fourth proportional to 338,409.30, 507,614.58 and 138,693.96 is: 208,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,409.30 : 507,614.58 = 138,693.96 : x
  2. Step 2: Convert to fraction form
    338,409.30/507,614.58 = 138,693.96/x
  3. Step 3: Cross multiply
    338,409.30x = 507,614.58 × 138,693.96
  4. Step 4: Simplify right side
    338,409.30x = 70,403,076,253.94
  5. Step 5: Solve for x
    x = 70,403,076,253.94/338,409.30
  6. Step 6: Final answer
    x = 208,041.20

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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.