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Finding the Fourth Proportional to 282,930.10, 390,410.80 and 162,064.18

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Solution

The fourth proportional to 282,930.10, 390,410.80 and 162,064.18 is: 223,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,930.10 : 390,410.80 = 162,064.18 : x
  2. Step 2: Convert to fraction form
    282,930.10/390,410.80 = 162,064.18/x
  3. Step 3: Cross multiply
    282,930.10x = 390,410.80 × 162,064.18
  4. Step 4: Simplify right side
    282,930.10x = 63,271,604,963.55
  5. Step 5: Solve for x
    x = 63,271,604,963.55/282,930.10
  6. Step 6: Final answer
    x = 223,629.81

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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.