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Finding the Fourth Proportional to 286,048.40, 429,072.60 and 72,815.90

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Solution

The fourth proportional to 286,048.40, 429,072.60 and 72,815.90 is: 109,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,048.40 : 429,072.60 = 72,815.90 : x
  2. Step 2: Convert to fraction form
    286,048.40/429,072.60 = 72,815.90/x
  3. Step 3: Cross multiply
    286,048.40x = 429,072.60 × 72,815.90
  4. Step 4: Simplify right side
    286,048.40x = 31,243,307,534.34
  5. Step 5: Solve for x
    x = 31,243,307,534.34/286,048.40
  6. Step 6: Final answer
    x = 109,223.85

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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.