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Finding the Fourth Proportional to 470,833.92, 649,852.16 and 289,699.84

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Solution

The fourth proportional to 470,833.92, 649,852.16 and 289,699.84 is: 399,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,833.92 : 649,852.16 = 289,699.84 : x
  2. Step 2: Convert to fraction form
    470,833.92/649,852.16 = 289,699.84/x
  3. Step 3: Cross multiply
    470,833.92x = 649,852.16 × 289,699.84
  4. Step 4: Simplify right side
    470,833.92x = 188,262,066,775.65
  5. Step 5: Solve for x
    x = 188,262,066,775.65/470,833.92
  6. Step 6: Final answer
    x = 399,848.14

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1.5x scale

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.