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Finding the Fourth Proportional to 270,705.93, 405,918.72 and 144,312.23

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Solution

The fourth proportional to 270,705.93, 405,918.72 and 144,312.23 is: 216,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,705.93 : 405,918.72 = 144,312.23 : x
  2. Step 2: Convert to fraction form
    270,705.93/405,918.72 = 144,312.23/x
  3. Step 3: Cross multiply
    270,705.93x = 405,918.72 × 144,312.23
  4. Step 4: Simplify right side
    270,705.93x = 58,579,035,681.95
  5. Step 5: Solve for x
    x = 58,579,035,681.95/270,705.93
  6. Step 6: Final answer
    x = 216,393.62

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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.