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Finding the Fourth Proportional to 507,118.42, 761,063.28 and 187,572.64

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Solution

The fourth proportional to 507,118.42, 761,063.28 and 187,572.64 is: 281,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,118.42 : 761,063.28 = 187,572.64 : x
  2. Step 2: Convert to fraction form
    507,118.42/761,063.28 = 187,572.64/x
  3. Step 3: Cross multiply
    507,118.42x = 761,063.28 × 187,572.64
  4. Step 4: Simplify right side
    507,118.42x = 142,754,648,636.66
  5. Step 5: Solve for x
    x = 142,754,648,636.66/507,118.42
  6. Step 6: Final answer
    x = 281,501.60

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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.