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Finding the Fourth Proportional to 355,495.02, 533,243.07 and 142,358.91

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Solution

The fourth proportional to 355,495.02, 533,243.07 and 142,358.91 is: 213,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,495.02 : 533,243.07 = 142,358.91 : x
  2. Step 2: Convert to fraction form
    355,495.02/533,243.07 = 142,358.91/x
  3. Step 3: Cross multiply
    355,495.02x = 533,243.07 × 142,358.91
  4. Step 4: Simplify right side
    355,495.02x = 75,911,902,210.25
  5. Step 5: Solve for x
    x = 75,911,902,210.25/355,495.02
  6. Step 6: Final answer
    x = 213,538.58

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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.