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Finding the Fourth Proportional to 419,585.28, 578,829.28 and 283,666.96

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Solution

The fourth proportional to 419,585.28, 578,829.28 and 283,666.96 is: 391,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,585.28 : 578,829.28 = 283,666.96 : x
  2. Step 2: Convert to fraction form
    419,585.28/578,829.28 = 283,666.96/x
  3. Step 3: Cross multiply
    419,585.28x = 578,829.28 × 283,666.96
  4. Step 4: Simplify right side
    419,585.28x = 164,194,742,216.59
  5. Step 5: Solve for x
    x = 164,194,742,216.59/419,585.28
  6. Step 6: Final answer
    x = 391,326.27

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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.