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Finding the Fourth Proportional to 459,734.84, 688,127.24 and 245,968

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Solution

The fourth proportional to 459,734.84, 688,127.24 and 245,968 is: 368,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,734.84 : 688,127.24 = 245,968 : x
  2. Step 2: Convert to fraction form
    459,734.84/688,127.24 = 245,968/x
  3. Step 3: Cross multiply
    459,734.84x = 688,127.24 × 245,968
  4. Step 4: Simplify right side
    459,734.84x = 169,257,280,968.32
  5. Step 5: Solve for x
    x = 169,257,280,968.32/459,734.84
  6. Step 6: Final answer
    x = 368,162.83

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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.