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Finding the Fourth Proportional to 429,058.80, 643,296.60 and 162,779.40

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Solution

The fourth proportional to 429,058.80, 643,296.60 and 162,779.40 is: 244,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,058.80 : 643,296.60 = 162,779.40 : x
  2. Step 2: Convert to fraction form
    429,058.80/643,296.60 = 162,779.40/x
  3. Step 3: Cross multiply
    429,058.80x = 643,296.60 × 162,779.40
  4. Step 4: Simplify right side
    429,058.80x = 104,715,434,570.04
  5. Step 5: Solve for x
    x = 104,715,434,570.04/429,058.80
  6. Step 6: Final answer
    x = 244,058.47

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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.