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Finding the Fourth Proportional to 631,471.20, 946,400.40 and 257,071.20

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Solution

The fourth proportional to 631,471.20, 946,400.40 and 257,071.20 is: 385,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,471.20 : 946,400.40 = 257,071.20 : x
  2. Step 2: Convert to fraction form
    631,471.20/946,400.40 = 257,071.20/x
  3. Step 3: Cross multiply
    631,471.20x = 946,400.40 × 257,071.20
  4. Step 4: Simplify right side
    631,471.20x = 243,292,286,508.48
  5. Step 5: Solve for x
    x = 243,292,286,508.48/631,471.20
  6. Step 6: Final answer
    x = 385,278.52

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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.