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Finding the Fourth Proportional to 507,756.64, 761,685.53 and 187,994

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Solution

The fourth proportional to 507,756.64, 761,685.53 and 187,994 is: 282,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,756.64 : 761,685.53 = 187,994 : x
  2. Step 2: Convert to fraction form
    507,756.64/761,685.53 = 187,994/x
  3. Step 3: Cross multiply
    507,756.64x = 761,685.53 × 187,994
  4. Step 4: Simplify right side
    507,756.64x = 143,192,309,526.82
  5. Step 5: Solve for x
    x = 143,192,309,526.82/507,756.64
  6. Step 6: Final answer
    x = 282,009.72

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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.