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Finding the Fourth Proportional to 423,097.35, 634,313.76 and 289,572.80

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Solution

The fourth proportional to 423,097.35, 634,313.76 and 289,572.80 is: 434,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,097.35 : 634,313.76 = 289,572.80 : x
  2. Step 2: Convert to fraction form
    423,097.35/634,313.76 = 289,572.80/x
  3. Step 3: Cross multiply
    423,097.35x = 634,313.76 × 289,572.80
  4. Step 4: Simplify right side
    423,097.35x = 183,680,008,390.16
  5. Step 5: Solve for x
    x = 183,680,008,390.16/423,097.35
  6. Step 6: Final answer
    x = 434,131.79

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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.