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Finding the Fourth Proportional to 470,421.60, 649,237.46 and 279,435.76

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Solution

The fourth proportional to 470,421.60, 649,237.46 and 279,435.76 is: 385,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,421.60 : 649,237.46 = 279,435.76 : x
  2. Step 2: Convert to fraction form
    470,421.60/649,237.46 = 279,435.76/x
  3. Step 3: Cross multiply
    470,421.60x = 649,237.46 × 279,435.76
  4. Step 4: Simplify right side
    470,421.60x = 181,420,163,055.57
  5. Step 5: Solve for x
    x = 181,420,163,055.57/470,421.60
  6. Step 6: Final answer
    x = 385,654.41

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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.