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Finding the Fourth Proportional to 470,868.90, 705,266.55 and 418,337.70

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Solution

The fourth proportional to 470,868.90, 705,266.55 and 418,337.70 is: 626,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,868.90 : 705,266.55 = 418,337.70 : x
  2. Step 2: Convert to fraction form
    470,868.90/705,266.55 = 418,337.70/x
  3. Step 3: Cross multiply
    470,868.90x = 705,266.55 × 418,337.70
  4. Step 4: Simplify right side
    470,868.90x = 295,039,586,413.94
  5. Step 5: Solve for x
    x = 295,039,586,413.94/470,868.90
  6. Step 6: Final answer
    x = 626,585.42

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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.