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Finding the Fourth Proportional to 286,429.63, 429,724.88 and 84,030.51

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Solution

The fourth proportional to 286,429.63, 429,724.88 and 84,030.51 is: 126,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,429.63 : 429,724.88 = 84,030.51 : x
  2. Step 2: Convert to fraction form
    286,429.63/429,724.88 = 84,030.51/x
  3. Step 3: Cross multiply
    286,429.63x = 429,724.88 × 84,030.51
  4. Step 4: Simplify right side
    286,429.63x = 36,110,000,826.09
  5. Step 5: Solve for x
    x = 36,110,000,826.09/286,429.63
  6. Step 6: Final answer
    x = 126,069.36

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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.