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Finding the Fourth Proportional to 520,612.64, 718,386.24 and 294,257.60

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Solution

The fourth proportional to 520,612.64, 718,386.24 and 294,257.60 is: 406,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,612.64 : 718,386.24 = 294,257.60 : x
  2. Step 2: Convert to fraction form
    520,612.64/718,386.24 = 294,257.60/x
  3. Step 3: Cross multiply
    520,612.64x = 718,386.24 × 294,257.60
  4. Step 4: Simplify right side
    520,612.64x = 211,390,610,855.42
  5. Step 5: Solve for x
    x = 211,390,610,855.42/520,612.64
  6. Step 6: Final answer
    x = 406,042.03

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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.