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Finding the Fourth Proportional to 369,458.76, 509,512.50 and 277,209.48

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Solution

The fourth proportional to 369,458.76, 509,512.50 and 277,209.48 is: 382,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,458.76 : 509,512.50 = 277,209.48 : x
  2. Step 2: Convert to fraction form
    369,458.76/509,512.50 = 277,209.48/x
  3. Step 3: Cross multiply
    369,458.76x = 509,512.50 × 277,209.48
  4. Step 4: Simplify right side
    369,458.76x = 141,241,695,178.50
  5. Step 5: Solve for x
    x = 141,241,695,178.50/369,458.76
  6. Step 6: Final answer
    x = 382,293.53

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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.