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Finding the Fourth Proportional to 520,708.23, 718,631.44 and 299,953.16

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Solution

The fourth proportional to 520,708.23, 718,631.44 and 299,953.16 is: 413,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,708.23 : 718,631.44 = 299,953.16 : x
  2. Step 2: Convert to fraction form
    520,708.23/718,631.44 = 299,953.16/x
  3. Step 3: Cross multiply
    520,708.23x = 718,631.44 × 299,953.16
  4. Step 4: Simplify right side
    520,708.23x = 215,555,771,342.42
  5. Step 5: Solve for x
    x = 215,555,771,342.42/520,708.23
  6. Step 6: Final answer
    x = 413,966.52

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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.