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Finding the Fourth Proportional to 390,735, 586,178.64 and 166,092.84

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Solution

The fourth proportional to 390,735, 586,178.64 and 166,092.84 is: 249,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,735 : 586,178.64 = 166,092.84 : x
  2. Step 2: Convert to fraction form
    390,735/586,178.64 = 166,092.84/x
  3. Step 3: Cross multiply
    390,735x = 586,178.64 × 166,092.84
  4. Step 4: Simplify right side
    390,735x = 97,360,075,064.94
  5. Step 5: Solve for x
    x = 97,360,075,064.94/390,735
  6. Step 6: Final answer
    x = 249,171.63

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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.