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Finding the Fourth Proportional to 407,687.60, 562,598.16 and 226,393.76

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Solution

The fourth proportional to 407,687.60, 562,598.16 and 226,393.76 is: 312,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,687.60 : 562,598.16 = 226,393.76 : x
  2. Step 2: Convert to fraction form
    407,687.60/562,598.16 = 226,393.76/x
  3. Step 3: Cross multiply
    407,687.60x = 562,598.16 × 226,393.76
  4. Step 4: Simplify right side
    407,687.60x = 127,368,712,811.48
  5. Step 5: Solve for x
    x = 127,368,712,811.48/407,687.60
  6. Step 6: Final answer
    x = 312,417.43

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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.