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Finding the Fourth Proportional to 286,453.04, 429,709.32 and 136,668.08

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Solution

The fourth proportional to 286,453.04, 429,709.32 and 136,668.08 is: 205,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,453.04 : 429,709.32 = 136,668.08 : x
  2. Step 2: Convert to fraction form
    286,453.04/429,709.32 = 136,668.08/x
  3. Step 3: Cross multiply
    286,453.04x = 429,709.32 × 136,668.08
  4. Step 4: Simplify right side
    286,453.04x = 58,727,547,722.51
  5. Step 5: Solve for x
    x = 58,727,547,722.51/286,453.04
  6. Step 6: Final answer
    x = 205,016.32

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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.