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Finding the Fourth Proportional to 978,465.02, 1,466,024.40 and 765,150.57

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Solution

The fourth proportional to 978,465.02, 1,466,024.40 and 765,150.57 is: 1,146,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,465.02 : 1,466,024.40 = 765,150.57 : x
  2. Step 2: Convert to fraction form
    978,465.02/1,466,024.40 = 765,150.57/x
  3. Step 3: Cross multiply
    978,465.02x = 1,466,024.40 × 765,150.57
  4. Step 4: Simplify right side
    978,465.02x = 1,121,729,405,293.91
  5. Step 5: Solve for x
    x = 1,121,729,405,293.91/978,465.02
  6. Step 6: Final answer
    x = 1,146,417.49

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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.