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Finding the Fourth Proportional to 433,642.65, 650,685.58 and 289,646.66

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Solution

The fourth proportional to 433,642.65, 650,685.58 and 289,646.66 is: 434,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,642.65 : 650,685.58 = 289,646.66 : x
  2. Step 2: Convert to fraction form
    433,642.65/650,685.58 = 289,646.66/x
  3. Step 3: Cross multiply
    433,642.65x = 650,685.58 × 289,646.66
  4. Step 4: Simplify right side
    433,642.65x = 188,468,904,844.34
  5. Step 5: Solve for x
    x = 188,468,904,844.34/433,642.65
  6. Step 6: Final answer
    x = 434,618.01

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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.