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Finding the Fourth Proportional to 470,554.06, 705,772.77 and 278,542.75

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Solution

The fourth proportional to 470,554.06, 705,772.77 and 278,542.75 is: 417,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,554.06 : 705,772.77 = 278,542.75 : x
  2. Step 2: Convert to fraction form
    470,554.06/705,772.77 = 278,542.75/x
  3. Step 3: Cross multiply
    470,554.06x = 705,772.77 × 278,542.75
  4. Step 4: Simplify right side
    470,554.06x = 196,587,888,230.92
  5. Step 5: Solve for x
    x = 196,587,888,230.92/470,554.06
  6. Step 6: Final answer
    x = 417,779.60

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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.