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Finding the Fourth Proportional to 390,349.86, 538,657.78 and 218,282

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Solution

The fourth proportional to 390,349.86, 538,657.78 and 218,282 is: 301,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,349.86 : 538,657.78 = 218,282 : x
  2. Step 2: Convert to fraction form
    390,349.86/538,657.78 = 218,282/x
  3. Step 3: Cross multiply
    390,349.86x = 538,657.78 × 218,282
  4. Step 4: Simplify right side
    390,349.86x = 117,579,297,533.96
  5. Step 5: Solve for x
    x = 117,579,297,533.96/390,349.86
  6. Step 6: Final answer
    x = 301,215.17

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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.