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Finding the Fourth Proportional to 368,899.76, 509,080.40 and 207,754.76

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Solution

The fourth proportional to 368,899.76, 509,080.40 and 207,754.76 is: 286,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,899.76 : 509,080.40 = 207,754.76 : x
  2. Step 2: Convert to fraction form
    368,899.76/509,080.40 = 207,754.76/x
  3. Step 3: Cross multiply
    368,899.76x = 509,080.40 × 207,754.76
  4. Step 4: Simplify right side
    368,899.76x = 105,763,878,114.79
  5. Step 5: Solve for x
    x = 105,763,878,114.79/368,899.76
  6. Step 6: Final answer
    x = 286,700.86

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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.