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Finding the Fourth Proportional to 210,404.32, 315,647.65 and 77,285.58

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Solution

The fourth proportional to 210,404.32, 315,647.65 and 77,285.58 is: 115,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,404.32 : 315,647.65 = 77,285.58 : x
  2. Step 2: Convert to fraction form
    210,404.32/315,647.65 = 77,285.58/x
  3. Step 3: Cross multiply
    210,404.32x = 315,647.65 × 77,285.58
  4. Step 4: Simplify right side
    210,404.32x = 24,395,010,618.82
  5. Step 5: Solve for x
    x = 24,395,010,618.82/210,404.32
  6. Step 6: Final answer
    x = 115,943.49

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1.5x scale

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.