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Finding the Fourth Proportional to 535,148, 803,112.96 and 431,221.76

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Solution

The fourth proportional to 535,148, 803,112.96 and 431,221.76 is: 647,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,148 : 803,112.96 = 431,221.76 : x
  2. Step 2: Convert to fraction form
    535,148/803,112.96 = 431,221.76/x
  3. Step 3: Cross multiply
    535,148x = 803,112.96 × 431,221.76
  4. Step 4: Simplify right side
    535,148x = 346,319,784,090.01
  5. Step 5: Solve for x
    x = 346,319,784,090.01/535,148
  6. Step 6: Final answer
    x = 647,147.68

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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.