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Finding the Fourth Proportional to 470,842.40, 705,226.80 and 418,311.20

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Solution

The fourth proportional to 470,842.40, 705,226.80 and 418,311.20 is: 626,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,842.40 : 705,226.80 = 418,311.20 : x
  2. Step 2: Convert to fraction form
    470,842.40/705,226.80 = 418,311.20/x
  3. Step 3: Cross multiply
    470,842.40x = 705,226.80 × 418,311.20
  4. Step 4: Simplify right side
    470,842.40x = 295,004,268,980.16
  5. Step 5: Solve for x
    x = 295,004,268,980.16/470,842.40
  6. Step 6: Final answer
    x = 626,545.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.