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Finding the Fourth Proportional to 470,846.21, 649,870.95 and 309,717.15

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Solution

The fourth proportional to 470,846.21, 649,870.95 and 309,717.15 is: 427,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,846.21 : 649,870.95 = 309,717.15 : x
  2. Step 2: Convert to fraction form
    470,846.21/649,870.95 = 309,717.15/x
  3. Step 3: Cross multiply
    470,846.21x = 649,870.95 × 309,717.15
  4. Step 4: Simplify right side
    470,846.21x = 201,276,178,501.79
  5. Step 5: Solve for x
    x = 201,276,178,501.79/470,846.21
  6. Step 6: Final answer
    x = 427,477.54

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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.