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Finding the Fourth Proportional to 390,844.80, 586,086.72 and 166,085.40

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Solution

The fourth proportional to 390,844.80, 586,086.72 and 166,085.40 is: 249,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,844.80 : 586,086.72 = 166,085.40 : x
  2. Step 2: Convert to fraction form
    390,844.80/586,086.72 = 166,085.40/x
  3. Step 3: Cross multiply
    390,844.80x = 586,086.72 × 166,085.40
  4. Step 4: Simplify right side
    390,844.80x = 97,340,447,325.89
  5. Step 5: Solve for x
    x = 97,340,447,325.89/390,844.80
  6. Step 6: Final answer
    x = 249,051.41

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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.