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Finding the Fourth Proportional to 280,548.50, 387,301.37 and 165,862.22

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Solution

The fourth proportional to 280,548.50, 387,301.37 and 165,862.22 is: 228,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,548.50 : 387,301.37 = 165,862.22 : x
  2. Step 2: Convert to fraction form
    280,548.50/387,301.37 = 165,862.22/x
  3. Step 3: Cross multiply
    280,548.50x = 387,301.37 × 165,862.22
  4. Step 4: Simplify right side
    280,548.50x = 64,238,662,271.42
  5. Step 5: Solve for x
    x = 64,238,662,271.42/280,548.50
  6. Step 6: Final answer
    x = 228,975.25

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1.5x scale

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.