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Finding the Fourth Proportional to 477,205.20, 715,807.80 and 470,206.80

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Solution

The fourth proportional to 477,205.20, 715,807.80 and 470,206.80 is: 705,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,205.20 : 715,807.80 = 470,206.80 : x
  2. Step 2: Convert to fraction form
    477,205.20/715,807.80 = 470,206.80/x
  3. Step 3: Cross multiply
    477,205.20x = 715,807.80 × 470,206.80
  4. Step 4: Simplify right side
    477,205.20x = 336,577,695,053.04
  5. Step 5: Solve for x
    x = 336,577,695,053.04/477,205.20
  6. Step 6: Final answer
    x = 705,310.20

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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.