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Finding the Fourth Proportional to 356,834.36, 535,252.47 and 120,343.16

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Solution

The fourth proportional to 356,834.36, 535,252.47 and 120,343.16 is: 180,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,834.36 : 535,252.47 = 120,343.16 : x
  2. Step 2: Convert to fraction form
    356,834.36/535,252.47 = 120,343.16/x
  3. Step 3: Cross multiply
    356,834.36x = 535,252.47 × 120,343.16
  4. Step 4: Simplify right side
    356,834.36x = 64,413,973,637.61
  5. Step 5: Solve for x
    x = 64,413,973,637.61/356,834.36
  6. Step 6: Final answer
    x = 180,515.05

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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.