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Finding the Fourth Proportional to 419,433.66, 578,620.56 and 283,515.05

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Solution

The fourth proportional to 419,433.66, 578,620.56 and 283,515.05 is: 391,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,433.66 : 578,620.56 = 283,515.05 : x
  2. Step 2: Convert to fraction form
    419,433.66/578,620.56 = 283,515.05/x
  3. Step 3: Cross multiply
    419,433.66x = 578,620.56 × 283,515.05
  4. Step 4: Simplify right side
    419,433.66x = 164,047,639,509.16
  5. Step 5: Solve for x
    x = 164,047,639,509.16/419,433.66
  6. Step 6: Final answer
    x = 391,117.01

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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.