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Finding the Fourth Proportional to 470,887.98, 705,637.20 and 278,563.50

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Solution

The fourth proportional to 470,887.98, 705,637.20 and 278,563.50 is: 417,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,887.98 : 705,637.20 = 278,563.50 : x
  2. Step 2: Convert to fraction form
    470,887.98/705,637.20 = 278,563.50/x
  3. Step 3: Cross multiply
    470,887.98x = 705,637.20 × 278,563.50
  4. Step 4: Simplify right side
    470,887.98x = 196,564,768,162.20
  5. Step 5: Solve for x
    x = 196,564,768,162.20/470,887.98
  6. Step 6: Final answer
    x = 417,434.24

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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.