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Finding the Fourth Proportional to 292,205.40, 438,308.10 and 166,234.20

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Solution

The fourth proportional to 292,205.40, 438,308.10 and 166,234.20 is: 249,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,205.40 : 438,308.10 = 166,234.20 : x
  2. Step 2: Convert to fraction form
    292,205.40/438,308.10 = 166,234.20/x
  3. Step 3: Cross multiply
    292,205.40x = 438,308.10 × 166,234.20
  4. Step 4: Simplify right side
    292,205.40x = 72,861,796,357.02
  5. Step 5: Solve for x
    x = 72,861,796,357.02/292,205.40
  6. Step 6: Final answer
    x = 249,351.30

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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.