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Finding the Fourth Proportional to 470,306.48, 648,667.32 and 326,994.80

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Solution

The fourth proportional to 470,306.48, 648,667.32 and 326,994.80 is: 451,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,306.48 : 648,667.32 = 326,994.80 : x
  2. Step 2: Convert to fraction form
    470,306.48/648,667.32 = 326,994.80/x
  3. Step 3: Cross multiply
    470,306.48x = 648,667.32 × 326,994.80
  4. Step 4: Simplify right side
    470,306.48x = 212,110,840,569.94
  5. Step 5: Solve for x
    x = 212,110,840,569.94/470,306.48
  6. Step 6: Final answer
    x = 451,005.57

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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.