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Finding the Fourth Proportional to 338,466.42, 507,533.76 and 138,732.48

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Solution

The fourth proportional to 338,466.42, 507,533.76 and 138,732.48 is: 208,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,466.42 : 507,533.76 = 138,732.48 : x
  2. Step 2: Convert to fraction form
    338,466.42/507,533.76 = 138,732.48/x
  3. Step 3: Cross multiply
    338,466.42x = 507,533.76 × 138,732.48
  4. Step 4: Simplify right side
    338,466.42x = 70,411,417,208.52
  5. Step 5: Solve for x
    x = 70,411,417,208.52/338,466.42
  6. Step 6: Final answer
    x = 208,030.73

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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.