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Finding the Fourth Proportional to 470,830.84, 649,888.86 and 320,015.32

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Solution

The fourth proportional to 470,830.84, 649,888.86 and 320,015.32 is: 441,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,830.84 : 649,888.86 = 320,015.32 : x
  2. Step 2: Convert to fraction form
    470,830.84/649,888.86 = 320,015.32/x
  3. Step 3: Cross multiply
    470,830.84x = 649,888.86 × 320,015.32
  4. Step 4: Simplify right side
    470,830.84x = 207,974,391,497.34
  5. Step 5: Solve for x
    x = 207,974,391,497.34/470,830.84
  6. Step 6: Final answer
    x = 441,717.86

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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.