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Finding the Fourth Proportional to 210,008.70, 287,493.40 and 208,507.86

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Solution

The fourth proportional to 210,008.70, 287,493.40 and 208,507.86 is: 285,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,008.70 : 287,493.40 = 208,507.86 : x
  2. Step 2: Convert to fraction form
    210,008.70/287,493.40 = 208,507.86/x
  3. Step 3: Cross multiply
    210,008.70x = 287,493.40 × 208,507.86
  4. Step 4: Simplify right side
    210,008.70x = 59,944,633,598.12
  5. Step 5: Solve for x
    x = 59,944,633,598.12/210,008.70
  6. Step 6: Final answer
    x = 285,438.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.