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Finding the Fourth Proportional to 413,463.42, 620,283.47 and 143,599.91

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Solution

The fourth proportional to 413,463.42, 620,283.47 and 143,599.91 is: 215,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,463.42 : 620,283.47 = 143,599.91 : x
  2. Step 2: Convert to fraction form
    413,463.42/620,283.47 = 143,599.91/x
  3. Step 3: Cross multiply
    413,463.42x = 620,283.47 × 143,599.91
  4. Step 4: Simplify right side
    413,463.42x = 89,072,646,647.07
  5. Step 5: Solve for x
    x = 89,072,646,647.07/413,463.42
  6. Step 6: Final answer
    x = 215,430.54

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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.