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Finding the Fourth Proportional to 459,451.84, 688,474.32 and 309,135.28

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Solution

The fourth proportional to 459,451.84, 688,474.32 and 309,135.28 is: 463,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,451.84 : 688,474.32 = 309,135.28 : x
  2. Step 2: Convert to fraction form
    459,451.84/688,474.32 = 309,135.28/x
  3. Step 3: Cross multiply
    459,451.84x = 688,474.32 × 309,135.28
  4. Step 4: Simplify right side
    459,451.84x = 212,831,701,686.01
  5. Step 5: Solve for x
    x = 212,831,701,686.01/459,451.84
  6. Step 6: Final answer
    x = 463,229.62

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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.