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Finding the Fourth Proportional to 681,038.40, 1,020,002.40 and 401,102.40

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Solution

The fourth proportional to 681,038.40, 1,020,002.40 and 401,102.40 is: 600,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,038.40 : 1,020,002.40 = 401,102.40 : x
  2. Step 2: Convert to fraction form
    681,038.40/1,020,002.40 = 401,102.40/x
  3. Step 3: Cross multiply
    681,038.40x = 1,020,002.40 × 401,102.40
  4. Step 4: Simplify right side
    681,038.40x = 409,125,410,645.76
  5. Step 5: Solve for x
    x = 409,125,410,645.76/681,038.40
  6. Step 6: Final answer
    x = 600,737.65

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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.