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Finding the Fourth Proportional to 286,270.70, 429,524.91 and 144,040.03

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Solution

The fourth proportional to 286,270.70, 429,524.91 and 144,040.03 is: 216,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,270.70 : 429,524.91 = 144,040.03 : x
  2. Step 2: Convert to fraction form
    286,270.70/429,524.91 = 144,040.03/x
  3. Step 3: Cross multiply
    286,270.70x = 429,524.91 × 144,040.03
  4. Step 4: Simplify right side
    286,270.70x = 61,868,779,848.34
  5. Step 5: Solve for x
    x = 61,868,779,848.34/286,270.70
  6. Step 6: Final answer
    x = 216,119.85

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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.