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Finding the Fourth Proportional to 292,513.40, 438,770.10 and 166,542.20

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Solution

The fourth proportional to 292,513.40, 438,770.10 and 166,542.20 is: 249,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,513.40 : 438,770.10 = 166,542.20 : x
  2. Step 2: Convert to fraction form
    292,513.40/438,770.10 = 166,542.20/x
  3. Step 3: Cross multiply
    292,513.40x = 438,770.10 × 166,542.20
  4. Step 4: Simplify right side
    292,513.40x = 73,073,737,748.22
  5. Step 5: Solve for x
    x = 73,073,737,748.22/292,513.40
  6. Step 6: Final answer
    x = 249,813.30

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1.5x scale

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.