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Finding the Fourth Proportional to 423,345.75, 634,685.71 and 289,821.30

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Solution

The fourth proportional to 423,345.75, 634,685.71 and 289,821.30 is: 434,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,345.75 : 634,685.71 = 289,821.30 : x
  2. Step 2: Convert to fraction form
    423,345.75/634,685.71 = 289,821.30/x
  3. Step 3: Cross multiply
    423,345.75x = 634,685.71 × 289,821.30
  4. Step 4: Simplify right side
    423,345.75x = 183,945,437,563.62
  5. Step 5: Solve for x
    x = 183,945,437,563.62/423,345.75
  6. Step 6: Final answer
    x = 434,504.04

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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.