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Finding the Fourth Proportional to 470,556.80, 706,137.60 and 260,345.60

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Solution

The fourth proportional to 470,556.80, 706,137.60 and 260,345.60 is: 390,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,556.80 : 706,137.60 = 260,345.60 : x
  2. Step 2: Convert to fraction form
    470,556.80/706,137.60 = 260,345.60/x
  3. Step 3: Cross multiply
    470,556.80x = 706,137.60 × 260,345.60
  4. Step 4: Simplify right side
    470,556.80x = 183,839,817,154.56
  5. Step 5: Solve for x
    x = 183,839,817,154.56/470,556.80
  6. Step 6: Final answer
    x = 390,685.71

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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.