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Finding the Fourth Proportional to 341,220, 470,883.60 and 190,317

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Solution

The fourth proportional to 341,220, 470,883.60 and 190,317 is: 262,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,220 : 470,883.60 = 190,317 : x
  2. Step 2: Convert to fraction form
    341,220/470,883.60 = 190,317/x
  3. Step 3: Cross multiply
    341,220x = 470,883.60 × 190,317
  4. Step 4: Simplify right side
    341,220x = 89,617,154,101.20
  5. Step 5: Solve for x
    x = 89,617,154,101.20/341,220
  6. Step 6: Final answer
    x = 262,637.46

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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.