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Finding the Fourth Proportional to 389,040, 583,419.63 and 164,417.82

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Solution

The fourth proportional to 389,040, 583,419.63 and 164,417.82 is: 246,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,040 : 583,419.63 = 164,417.82 : x
  2. Step 2: Convert to fraction form
    389,040/583,419.63 = 164,417.82/x
  3. Step 3: Cross multiply
    389,040x = 583,419.63 × 164,417.82
  4. Step 4: Simplify right side
    389,040x = 95,924,583,709.81
  5. Step 5: Solve for x
    x = 95,924,583,709.81/389,040
  6. Step 6: Final answer
    x = 246,567.41

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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.