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Finding the Fourth Proportional to 254,526.78, 381,349.16 and 154,477.34

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Solution

The fourth proportional to 254,526.78, 381,349.16 and 154,477.34 is: 231,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,526.78 : 381,349.16 = 154,477.34 : x
  2. Step 2: Convert to fraction form
    254,526.78/381,349.16 = 154,477.34/x
  3. Step 3: Cross multiply
    254,526.78x = 381,349.16 × 154,477.34
  4. Step 4: Simplify right side
    254,526.78x = 58,909,803,848.03
  5. Step 5: Solve for x
    x = 58,909,803,848.03/254,526.78
  6. Step 6: Final answer
    x = 231,448.35

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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.