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Finding the Fourth Proportional to 278,668.51, 384,564.80 and 151,345.01

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Solution

The fourth proportional to 278,668.51, 384,564.80 and 151,345.01 is: 208,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,668.51 : 384,564.80 = 151,345.01 : x
  2. Step 2: Convert to fraction form
    278,668.51/384,564.80 = 151,345.01/x
  3. Step 3: Cross multiply
    278,668.51x = 384,564.80 × 151,345.01
  4. Step 4: Simplify right side
    278,668.51x = 58,201,963,501.65
  5. Step 5: Solve for x
    x = 58,201,963,501.65/278,668.51
  6. Step 6: Final answer
    x = 208,857.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.