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Finding the Fourth Proportional to 429,987.68, 645,059.04 and 177,130.16

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Solution

The fourth proportional to 429,987.68, 645,059.04 and 177,130.16 is: 265,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,987.68 : 645,059.04 = 177,130.16 : x
  2. Step 2: Convert to fraction form
    429,987.68/645,059.04 = 177,130.16/x
  3. Step 3: Cross multiply
    429,987.68x = 645,059.04 × 177,130.16
  4. Step 4: Simplify right side
    429,987.68x = 114,259,410,964.65
  5. Step 5: Solve for x
    x = 114,259,410,964.65/429,987.68
  6. Step 6: Final answer
    x = 265,727.17

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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.