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Finding the Fourth Proportional to 538,138.98, 742,353.93 and 346,849.38

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Solution

The fourth proportional to 538,138.98, 742,353.93 and 346,849.38 is: 478,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,138.98 : 742,353.93 = 346,849.38 : x
  2. Step 2: Convert to fraction form
    538,138.98/742,353.93 = 346,849.38/x
  3. Step 3: Cross multiply
    538,138.98x = 742,353.93 × 346,849.38
  4. Step 4: Simplify right side
    538,138.98x = 257,485,000,361.06
  5. Step 5: Solve for x
    x = 257,485,000,361.06/538,138.98
  6. Step 6: Final answer
    x = 478,473.05

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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.