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Finding the Fourth Proportional to 530,685.84, 796,026.96 and 215,142

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Solution

The fourth proportional to 530,685.84, 796,026.96 and 215,142 is: 322,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,685.84 : 796,026.96 = 215,142 : x
  2. Step 2: Convert to fraction form
    530,685.84/796,026.96 = 215,142/x
  3. Step 3: Cross multiply
    530,685.84x = 796,026.96 × 215,142
  4. Step 4: Simplify right side
    530,685.84x = 171,258,832,228.32
  5. Step 5: Solve for x
    x = 171,258,832,228.32/530,685.84
  6. Step 6: Final answer
    x = 322,712.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.