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Finding the Fourth Proportional to 292,284.70, 438,427.05 and 197,806.30

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Solution

The fourth proportional to 292,284.70, 438,427.05 and 197,806.30 is: 296,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284.70 : 438,427.05 = 197,806.30 : x
  2. Step 2: Convert to fraction form
    292,284.70/438,427.05 = 197,806.30/x
  3. Step 3: Cross multiply
    292,284.70x = 438,427.05 × 197,806.30
  4. Step 4: Simplify right side
    292,284.70x = 86,723,632,580.42
  5. Step 5: Solve for x
    x = 86,723,632,580.42/292,284.70
  6. Step 6: Final answer
    x = 296,709.45

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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.