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Finding the Fourth Proportional to 406,477.74, 560,036 and 268,411.48

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Solution

The fourth proportional to 406,477.74, 560,036 and 268,411.48 is: 369,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,477.74 : 560,036 = 268,411.48 : x
  2. Step 2: Convert to fraction form
    406,477.74/560,036 = 268,411.48/x
  3. Step 3: Cross multiply
    406,477.74x = 560,036 × 268,411.48
  4. Step 4: Simplify right side
    406,477.74x = 150,320,091,613.28
  5. Step 5: Solve for x
    x = 150,320,091,613.28/406,477.74
  6. Step 6: Final answer
    x = 369,811.37

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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.