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Finding the Fourth Proportional to 423,032.82, 634,233.65 and 254,513.67

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Solution

The fourth proportional to 423,032.82, 634,233.65 and 254,513.67 is: 381,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,032.82 : 634,233.65 = 254,513.67 : x
  2. Step 2: Convert to fraction form
    423,032.82/634,233.65 = 254,513.67/x
  3. Step 3: Cross multiply
    423,032.82x = 634,233.65 × 254,513.67
  4. Step 4: Simplify right side
    423,032.82x = 161,421,132,626.43
  5. Step 5: Solve for x
    x = 161,421,132,626.43/423,032.82
  6. Step 6: Final answer
    x = 381,580.64

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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.