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Finding the Fourth Proportional to 470,644.76, 649,494.80 and 255,784.84

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Solution

The fourth proportional to 470,644.76, 649,494.80 and 255,784.84 is: 352,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,644.76 : 649,494.80 = 255,784.84 : x
  2. Step 2: Convert to fraction form
    470,644.76/649,494.80 = 255,784.84/x
  3. Step 3: Cross multiply
    470,644.76x = 649,494.80 × 255,784.84
  4. Step 4: Simplify right side
    470,644.76x = 166,130,922,994.15
  5. Step 5: Solve for x
    x = 166,130,922,994.15/470,644.76
  6. Step 6: Final answer
    x = 352,985.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.