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Finding the Fourth Proportional to 292,139.28, 403,145.40 and 164,811.60

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Solution

The fourth proportional to 292,139.28, 403,145.40 and 164,811.60 is: 227,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,139.28 : 403,145.40 = 164,811.60 : x
  2. Step 2: Convert to fraction form
    292,139.28/403,145.40 = 164,811.60/x
  3. Step 3: Cross multiply
    292,139.28x = 403,145.40 × 164,811.60
  4. Step 4: Simplify right side
    292,139.28x = 66,443,038,406.64
  5. Step 5: Solve for x
    x = 66,443,038,406.64/292,139.28
  6. Step 6: Final answer
    x = 227,436.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.