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Finding the Fourth Proportional to 434,663.20, 651,703.20 and 210,131.20

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Solution

The fourth proportional to 434,663.20, 651,703.20 and 210,131.20 is: 315,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,663.20 : 651,703.20 = 210,131.20 : x
  2. Step 2: Convert to fraction form
    434,663.20/651,703.20 = 210,131.20/x
  3. Step 3: Cross multiply
    434,663.20x = 651,703.20 × 210,131.20
  4. Step 4: Simplify right side
    434,663.20x = 136,943,175,459.84
  5. Step 5: Solve for x
    x = 136,943,175,459.84/434,663.20
  6. Step 6: Final answer
    x = 315,055.83

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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.