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Finding the Fourth Proportional to 656,462.67, 905,918.40 and 354,656.67

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Solution

The fourth proportional to 656,462.67, 905,918.40 and 354,656.67 is: 489,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,462.67 : 905,918.40 = 354,656.67 : x
  2. Step 2: Convert to fraction form
    656,462.67/905,918.40 = 354,656.67/x
  3. Step 3: Cross multiply
    656,462.67x = 905,918.40 × 354,656.67
  4. Step 4: Simplify right side
    656,462.67x = 321,290,003,035.73
  5. Step 5: Solve for x
    x = 321,290,003,035.73/656,462.67
  6. Step 6: Final answer
    x = 489,426.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.