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Finding the Fourth Proportional to 286,603.11, 429,904.16 and 76,241.05

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Solution

The fourth proportional to 286,603.11, 429,904.16 and 76,241.05 is: 114,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,603.11 : 429,904.16 = 76,241.05 : x
  2. Step 2: Convert to fraction form
    286,603.11/429,904.16 = 76,241.05/x
  3. Step 3: Cross multiply
    286,603.11x = 429,904.16 × 76,241.05
  4. Step 4: Simplify right side
    286,603.11x = 32,776,343,387.71
  5. Step 5: Solve for x
    x = 32,776,343,387.71/286,603.11
  6. Step 6: Final answer
    x = 114,361.44

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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.