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Finding the Fourth Proportional to 510,437.56, 765,687.84 and 155,477.68

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Solution

The fourth proportional to 510,437.56, 765,687.84 and 155,477.68 is: 233,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,437.56 : 765,687.84 = 155,477.68 : x
  2. Step 2: Convert to fraction form
    510,437.56/765,687.84 = 155,477.68/x
  3. Step 3: Cross multiply
    510,437.56x = 765,687.84 × 155,477.68
  4. Step 4: Simplify right side
    510,437.56x = 119,047,368,967.41
  5. Step 5: Solve for x
    x = 119,047,368,967.41/510,437.56
  6. Step 6: Final answer
    x = 233,226.11

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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.