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Finding the Fourth Proportional to 510,739.32, 766,106.92 and 155,752.31

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Solution

The fourth proportional to 510,739.32, 766,106.92 and 155,752.31 is: 233,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,739.32 : 766,106.92 = 155,752.31 : x
  2. Step 2: Convert to fraction form
    510,739.32/766,106.92 = 155,752.31/x
  3. Step 3: Cross multiply
    510,739.32x = 766,106.92 × 155,752.31
  4. Step 4: Simplify right side
    510,739.32x = 119,322,922,496.99
  5. Step 5: Solve for x
    x = 119,322,922,496.99/510,739.32
  6. Step 6: Final answer
    x = 233,627.84

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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.