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Finding the Fourth Proportional to 649,276.84, 896,006.46 and 362,809

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Solution

The fourth proportional to 649,276.84, 896,006.46 and 362,809 is: 500,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,276.84 : 896,006.46 = 362,809 : x
  2. Step 2: Convert to fraction form
    649,276.84/896,006.46 = 362,809/x
  3. Step 3: Cross multiply
    649,276.84x = 896,006.46 × 362,809
  4. Step 4: Simplify right side
    649,276.84x = 325,079,207,746.14
  5. Step 5: Solve for x
    x = 325,079,207,746.14/649,276.84
  6. Step 6: Final answer
    x = 500,678.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.