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Finding the Fourth Proportional to 543,098.12, 749,477.43 and 301,415.49

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Solution

The fourth proportional to 543,098.12, 749,477.43 and 301,415.49 is: 415,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,098.12 : 749,477.43 = 301,415.49 : x
  2. Step 2: Convert to fraction form
    543,098.12/749,477.43 = 301,415.49/x
  3. Step 3: Cross multiply
    543,098.12x = 749,477.43 × 301,415.49
  4. Step 4: Simplify right side
    543,098.12x = 225,904,106,807.39
  5. Step 5: Solve for x
    x = 225,904,106,807.39/543,098.12
  6. Step 6: Final answer
    x = 415,954.50

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Double scale
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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.