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Finding the Fourth Proportional to 913,142, 1,260,140.28 and 510,734

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Solution

The fourth proportional to 913,142, 1,260,140.28 and 510,734 is: 704,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,142 : 1,260,140.28 = 510,734 : x
  2. Step 2: Convert to fraction form
    913,142/1,260,140.28 = 510,734/x
  3. Step 3: Cross multiply
    913,142x = 1,260,140.28 × 510,734
  4. Step 4: Simplify right side
    913,142x = 643,596,485,765.52
  5. Step 5: Solve for x
    x = 643,596,485,765.52/913,142
  6. Step 6: Final answer
    x = 704,815.34

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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.