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Finding the Fourth Proportional to 403,048.70, 605,038.65 and 216,424.70

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Solution

The fourth proportional to 403,048.70, 605,038.65 and 216,424.70 is: 324,887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,048.70 : 605,038.65 = 216,424.70 : x
  2. Step 2: Convert to fraction form
    403,048.70/605,038.65 = 216,424.70/x
  3. Step 3: Cross multiply
    403,048.70x = 605,038.65 × 216,424.70
  4. Step 4: Simplify right side
    403,048.70x = 130,945,308,314.66
  5. Step 5: Solve for x
    x = 130,945,308,314.66/403,048.70
  6. Step 6: Final answer
    x = 324,887.06

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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.