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Finding the Fourth Proportional to 286,260.40, 429,390.60 and 99,271.90

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Solution

The fourth proportional to 286,260.40, 429,390.60 and 99,271.90 is: 148,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,260.40 : 429,390.60 = 99,271.90 : x
  2. Step 2: Convert to fraction form
    286,260.40/429,390.60 = 99,271.90/x
  3. Step 3: Cross multiply
    286,260.40x = 429,390.60 × 99,271.90
  4. Step 4: Simplify right side
    286,260.40x = 42,626,420,704.14
  5. Step 5: Solve for x
    x = 42,626,420,704.14/286,260.40
  6. Step 6: Final answer
    x = 148,907.85

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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.