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Finding the Fourth Proportional to 513,066.72, 708,026.94 and 286,712.22

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Solution

The fourth proportional to 513,066.72, 708,026.94 and 286,712.22 is: 395,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,066.72 : 708,026.94 = 286,712.22 : x
  2. Step 2: Convert to fraction form
    513,066.72/708,026.94 = 286,712.22/x
  3. Step 3: Cross multiply
    513,066.72x = 708,026.94 × 286,712.22
  4. Step 4: Simplify right side
    513,066.72x = 202,999,975,787.21
  5. Step 5: Solve for x
    x = 202,999,975,787.21/513,066.72
  6. Step 6: Final answer
    x = 395,659.99

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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.