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Finding the Fourth Proportional to 921,576, 1,271,840.16 and 519,168

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Solution

The fourth proportional to 921,576, 1,271,840.16 and 519,168 is: 716,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,576 : 1,271,840.16 = 519,168 : x
  2. Step 2: Convert to fraction form
    921,576/1,271,840.16 = 519,168/x
  3. Step 3: Cross multiply
    921,576x = 1,271,840.16 × 519,168
  4. Step 4: Simplify right side
    921,576x = 660,298,712,186.88
  5. Step 5: Solve for x
    x = 660,298,712,186.88/921,576
  6. Step 6: Final answer
    x = 716,488.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.