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Finding the Fourth Proportional to 277,206.40, 382,502.40 and 156,342.40

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Solution

The fourth proportional to 277,206.40, 382,502.40 and 156,342.40 is: 215,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,206.40 : 382,502.40 = 156,342.40 : x
  2. Step 2: Convert to fraction form
    277,206.40/382,502.40 = 156,342.40/x
  3. Step 3: Cross multiply
    277,206.40x = 382,502.40 × 156,342.40
  4. Step 4: Simplify right side
    277,206.40x = 59,801,343,221.76
  5. Step 5: Solve for x
    x = 59,801,343,221.76/277,206.40
  6. Step 6: Final answer
    x = 215,728.58

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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.