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Finding the Fourth Proportional to 470,298.48, 648,656.28 and 326,986.80

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Solution

The fourth proportional to 470,298.48, 648,656.28 and 326,986.80 is: 450,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,298.48 : 648,656.28 = 326,986.80 : x
  2. Step 2: Convert to fraction form
    470,298.48/648,656.28 = 326,986.80/x
  3. Step 3: Cross multiply
    470,298.48x = 648,656.28 × 326,986.80
  4. Step 4: Simplify right side
    470,298.48x = 212,102,041,297.10
  5. Step 5: Solve for x
    x = 212,102,041,297.10/470,298.48
  6. Step 6: Final answer
    x = 450,994.53

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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.