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Finding the Fourth Proportional to 354,221.86, 488,818.90 and 193,075.50

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Solution

The fourth proportional to 354,221.86, 488,818.90 and 193,075.50 is: 266,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,221.86 : 488,818.90 = 193,075.50 : x
  2. Step 2: Convert to fraction form
    354,221.86/488,818.90 = 193,075.50/x
  3. Step 3: Cross multiply
    354,221.86x = 488,818.90 × 193,075.50
  4. Step 4: Simplify right side
    354,221.86x = 94,378,952,851.76
  5. Step 5: Solve for x
    x = 94,378,952,851.76/354,221.86
  6. Step 6: Final answer
    x = 266,440.23

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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.