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Finding the Fourth Proportional to 538,688.84, 743,395.74 and 296,980.25

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Solution

The fourth proportional to 538,688.84, 743,395.74 and 296,980.25 is: 409,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,688.84 : 743,395.74 = 296,980.25 : x
  2. Step 2: Convert to fraction form
    538,688.84/743,395.74 = 296,980.25/x
  3. Step 3: Cross multiply
    538,688.84x = 743,395.74 × 296,980.25
  4. Step 4: Simplify right side
    538,688.84x = 220,773,852,714.14
  5. Step 5: Solve for x
    x = 220,773,852,714.14/538,688.84
  6. Step 6: Final answer
    x = 409,835.58

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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.