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Finding the Fourth Proportional to 517,713.40, 714,305.01 and 302,906.26

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Solution

The fourth proportional to 517,713.40, 714,305.01 and 302,906.26 is: 417,929.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,713.40 : 714,305.01 = 302,906.26 : x
  2. Step 2: Convert to fraction form
    517,713.40/714,305.01 = 302,906.26/x
  3. Step 3: Cross multiply
    517,713.40x = 714,305.01 × 302,906.26
  4. Step 4: Simplify right side
    517,713.40x = 216,367,459,078.36
  5. Step 5: Solve for x
    x = 216,367,459,078.36/517,713.40
  6. Step 6: Final answer
    x = 417,929.03

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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.