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Finding the Fourth Proportional to 286,644.58, 430,139.68 and 99,787.30

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Solution

The fourth proportional to 286,644.58, 430,139.68 and 99,787.30 is: 149,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,644.58 : 430,139.68 = 99,787.30 : x
  2. Step 2: Convert to fraction form
    286,644.58/430,139.68 = 99,787.30/x
  3. Step 3: Cross multiply
    286,644.58x = 430,139.68 × 99,787.30
  4. Step 4: Simplify right side
    286,644.58x = 42,922,477,290.06
  5. Step 5: Solve for x
    x = 42,922,477,290.06/286,644.58
  6. Step 6: Final answer
    x = 149,741.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.