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Finding the Fourth Proportional to 470,931.84, 650,028.24 and 320,116.32

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Solution

The fourth proportional to 470,931.84, 650,028.24 and 320,116.32 is: 441,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,931.84 : 650,028.24 = 320,116.32 : x
  2. Step 2: Convert to fraction form
    470,931.84/650,028.24 = 320,116.32/x
  3. Step 3: Cross multiply
    470,931.84x = 650,028.24 × 320,116.32
  4. Step 4: Simplify right side
    470,931.84x = 208,084,648,084.88
  5. Step 5: Solve for x
    x = 208,084,648,084.88/470,931.84
  6. Step 6: Final answer
    x = 441,857.25

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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.