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Finding the Fourth Proportional to 280,419.63, 386,977.06 and 153,095.22

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Solution

The fourth proportional to 280,419.63, 386,977.06 and 153,095.22 is: 211,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,419.63 : 386,977.06 = 153,095.22 : x
  2. Step 2: Convert to fraction form
    280,419.63/386,977.06 = 153,095.22/x
  3. Step 3: Cross multiply
    280,419.63x = 386,977.06 × 153,095.22
  4. Step 4: Simplify right side
    280,419.63x = 59,244,338,327.02
  5. Step 5: Solve for x
    x = 59,244,338,327.02/280,419.63
  6. Step 6: Final answer
    x = 211,270.30

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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.