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Finding the Fourth Proportional to 429,064.62, 643,347.70 and 162,679.82

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Solution

The fourth proportional to 429,064.62, 643,347.70 and 162,679.82 is: 243,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,064.62 : 643,347.70 = 162,679.82 : x
  2. Step 2: Convert to fraction form
    429,064.62/643,347.70 = 162,679.82/x
  3. Step 3: Cross multiply
    429,064.62x = 643,347.70 × 162,679.82
  4. Step 4: Simplify right side
    429,064.62x = 104,659,686,905.70
  5. Step 5: Solve for x
    x = 104,659,686,905.70/429,064.62
  6. Step 6: Final answer
    x = 243,925.23

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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.