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Finding the Fourth Proportional to 470,647.35, 649,507.68 and 289,465.74

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Solution

The fourth proportional to 470,647.35, 649,507.68 and 289,465.74 is: 399,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,647.35 : 649,507.68 = 289,465.74 : x
  2. Step 2: Convert to fraction form
    470,647.35/649,507.68 = 289,465.74/x
  3. Step 3: Cross multiply
    470,647.35x = 649,507.68 × 289,465.74
  4. Step 4: Simplify right side
    470,647.35x = 188,010,221,226.88
  5. Step 5: Solve for x
    x = 188,010,221,226.88/470,647.35
  6. Step 6: Final answer
    x = 399,471.54

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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.