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Finding the Fourth Proportional to 523,622.78, 785,418.47 and 144,566.65

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Solution

The fourth proportional to 523,622.78, 785,418.47 and 144,566.65 is: 216,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,622.78 : 785,418.47 = 144,566.65 : x
  2. Step 2: Convert to fraction form
    523,622.78/785,418.47 = 144,566.65/x
  3. Step 3: Cross multiply
    523,622.78x = 785,418.47 × 144,566.65
  4. Step 4: Simplify right side
    523,622.78x = 113,545,316,461.29
  5. Step 5: Solve for x
    x = 113,545,316,461.29/523,622.78
  6. Step 6: Final answer
    x = 216,845.64

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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.