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Finding the Fourth Proportional to 459,165.51, 688,981.55 and 206,395.09

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Solution

The fourth proportional to 459,165.51, 688,981.55 and 206,395.09 is: 309,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,165.51 : 688,981.55 = 206,395.09 : x
  2. Step 2: Convert to fraction form
    459,165.51/688,981.55 = 206,395.09/x
  3. Step 3: Cross multiply
    459,165.51x = 688,981.55 × 206,395.09
  4. Step 4: Simplify right side
    459,165.51x = 142,202,406,266.16
  5. Step 5: Solve for x
    x = 142,202,406,266.16/459,165.51
  6. Step 6: Final answer
    x = 309,697.49

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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.