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Finding the Fourth Proportional to 390,975.68, 586,053.12 and 166,283.84

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Solution

The fourth proportional to 390,975.68, 586,053.12 and 166,283.84 is: 249,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,975.68 : 586,053.12 = 166,283.84 : x
  2. Step 2: Convert to fraction form
    390,975.68/586,053.12 = 166,283.84/x
  3. Step 3: Cross multiply
    390,975.68x = 586,053.12 × 166,283.84
  4. Step 4: Simplify right side
    390,975.68x = 97,451,163,237.58
  5. Step 5: Solve for x
    x = 97,451,163,237.58/390,975.68
  6. Step 6: Final answer
    x = 249,251.21

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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.