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Finding the Fourth Proportional to 303,509.80, 455,264.70 and 78,851.80

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Solution

The fourth proportional to 303,509.80, 455,264.70 and 78,851.80 is: 118,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,509.80 : 455,264.70 = 78,851.80 : x
  2. Step 2: Convert to fraction form
    303,509.80/455,264.70 = 78,851.80/x
  3. Step 3: Cross multiply
    303,509.80x = 455,264.70 × 78,851.80
  4. Step 4: Simplify right side
    303,509.80x = 35,898,441,071.46
  5. Step 5: Solve for x
    x = 35,898,441,071.46/303,509.80
  6. Step 6: Final answer
    x = 118,277.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.