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Finding the Fourth Proportional to 477,208.20, 715,812.30 and 470,209.80

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Solution

The fourth proportional to 477,208.20, 715,812.30 and 470,209.80 is: 705,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,208.20 : 715,812.30 = 470,209.80 : x
  2. Step 2: Convert to fraction form
    477,208.20/715,812.30 = 470,209.80/x
  3. Step 3: Cross multiply
    477,208.20x = 715,812.30 × 470,209.80
  4. Step 4: Simplify right side
    477,208.20x = 336,581,958,420.54
  5. Step 5: Solve for x
    x = 336,581,958,420.54/477,208.20
  6. Step 6: Final answer
    x = 705,314.70

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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.