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Finding the Fourth Proportional to 401,038.90, 601,558.35 and 259,321.30

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Solution

The fourth proportional to 401,038.90, 601,558.35 and 259,321.30 is: 388,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,038.90 : 601,558.35 = 259,321.30 : x
  2. Step 2: Convert to fraction form
    401,038.90/601,558.35 = 259,321.30/x
  3. Step 3: Cross multiply
    401,038.90x = 601,558.35 × 259,321.30
  4. Step 4: Simplify right side
    401,038.90x = 155,996,893,347.86
  5. Step 5: Solve for x
    x = 155,996,893,347.86/401,038.90
  6. Step 6: Final answer
    x = 388,981.95

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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.