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Finding the Fourth Proportional to 875,124, 1,312,686 and 210,276

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Solution

The fourth proportional to 875,124, 1,312,686 and 210,276 is: 315,414

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,124 : 1,312,686 = 210,276 : x
  2. Step 2: Convert to fraction form
    875,124/1,312,686 = 210,276/x
  3. Step 3: Cross multiply
    875,124x = 1,312,686 × 210,276
  4. Step 4: Simplify right side
    875,124x = 276,026,361,336
  5. Step 5: Solve for x
    x = 276,026,361,336/875,124
  6. Step 6: Final answer
    x = 315,414

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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.