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Finding the Fourth Proportional to 419,417.82, 578,871.65 and 247,325.35

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Solution

The fourth proportional to 419,417.82, 578,871.65 and 247,325.35 is: 341,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,417.82 : 578,871.65 = 247,325.35 : x
  2. Step 2: Convert to fraction form
    419,417.82/578,871.65 = 247,325.35/x
  3. Step 3: Cross multiply
    419,417.82x = 578,871.65 × 247,325.35
  4. Step 4: Simplify right side
    419,417.82x = 143,169,634,399.08
  5. Step 5: Solve for x
    x = 143,169,634,399.08/419,417.82
  6. Step 6: Final answer
    x = 341,353.25

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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.