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Finding the Fourth Proportional to 605,465.12, 909,001.84 and 517,285.28

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Solution

The fourth proportional to 605,465.12, 909,001.84 and 517,285.28 is: 776,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,465.12 : 909,001.84 = 517,285.28 : x
  2. Step 2: Convert to fraction form
    605,465.12/909,001.84 = 517,285.28/x
  3. Step 3: Cross multiply
    605,465.12x = 909,001.84 × 517,285.28
  4. Step 4: Simplify right side
    605,465.12x = 470,213,271,324.92
  5. Step 5: Solve for x
    x = 470,213,271,324.92/605,465.12
  6. Step 6: Final answer
    x = 776,614.96

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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.