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Finding the Fourth Proportional to 434,765.88, 652,550.23 and 313,312.66

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Solution

The fourth proportional to 434,765.88, 652,550.23 and 313,312.66 is: 470,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,765.88 : 652,550.23 = 313,312.66 : x
  2. Step 2: Convert to fraction form
    434,765.88/652,550.23 = 313,312.66/x
  3. Step 3: Cross multiply
    434,765.88x = 652,550.23 × 313,312.66
  4. Step 4: Simplify right side
    434,765.88x = 204,452,245,342.79
  5. Step 5: Solve for x
    x = 204,452,245,342.79/434,765.88
  6. Step 6: Final answer
    x = 470,258.26

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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.