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Finding the Fourth Proportional to 210,698.31, 315,486.20 and 164,646.76

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Solution

The fourth proportional to 210,698.31, 315,486.20 and 164,646.76 is: 246,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,698.31 : 315,486.20 = 164,646.76 : x
  2. Step 2: Convert to fraction form
    210,698.31/315,486.20 = 164,646.76/x
  3. Step 3: Cross multiply
    210,698.31x = 315,486.20 × 164,646.76
  4. Step 4: Simplify right side
    210,698.31x = 51,943,779,393.30
  5. Step 5: Solve for x
    x = 51,943,779,393.30/210,698.31
  6. Step 6: Final answer
    x = 246,531.54

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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.