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Finding the Fourth Proportional to 508,102.02, 761,488.62 and 208,231.51

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Solution

The fourth proportional to 508,102.02, 761,488.62 and 208,231.51 is: 312,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,102.02 : 761,488.62 = 208,231.51 : x
  2. Step 2: Convert to fraction form
    508,102.02/761,488.62 = 208,231.51/x
  3. Step 3: Cross multiply
    508,102.02x = 761,488.62 × 208,231.51
  4. Step 4: Simplify right side
    508,102.02x = 158,565,925,190.42
  5. Step 5: Solve for x
    x = 158,565,925,190.42/508,102.02
  6. Step 6: Final answer
    x = 312,074.98

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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.