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Finding the Fourth Proportional to 459,156.33, 687,589.02 and 290,166.84

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Solution

The fourth proportional to 459,156.33, 687,589.02 and 290,166.84 is: 434,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,156.33 : 687,589.02 = 290,166.84 : x
  2. Step 2: Convert to fraction form
    459,156.33/687,589.02 = 290,166.84/x
  3. Step 3: Cross multiply
    459,156.33x = 687,589.02 × 290,166.84
  4. Step 4: Simplify right side
    459,156.33x = 199,515,533,152.10
  5. Step 5: Solve for x
    x = 199,515,533,152.10/459,156.33
  6. Step 6: Final answer
    x = 434,526.37

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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.