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Finding the Fourth Proportional to 535,389, 803,157.61 and 180,504.51

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Solution

The fourth proportional to 535,389, 803,157.61 and 180,504.51 is: 270,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,389 : 803,157.61 = 180,504.51 : x
  2. Step 2: Convert to fraction form
    535,389/803,157.61 = 180,504.51/x
  3. Step 3: Cross multiply
    535,389x = 803,157.61 × 180,504.51
  4. Step 4: Simplify right side
    535,389x = 144,973,570,845.82
  5. Step 5: Solve for x
    x = 144,973,570,845.82/535,389
  6. Step 6: Final answer
    x = 270,781.75

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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.