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Finding the Fourth Proportional to 286,374.84, 395,240.40 and 206,068.20

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Solution

The fourth proportional to 286,374.84, 395,240.40 and 206,068.20 is: 284,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,374.84 : 395,240.40 = 206,068.20 : x
  2. Step 2: Convert to fraction form
    286,374.84/395,240.40 = 206,068.20/x
  3. Step 3: Cross multiply
    286,374.84x = 395,240.40 × 206,068.20
  4. Step 4: Simplify right side
    286,374.84x = 81,446,477,795.28
  5. Step 5: Solve for x
    x = 81,446,477,795.28/286,374.84
  6. Step 6: Final answer
    x = 284,405.14

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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.