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Finding the Fourth Proportional to 319,054.94, 478,463.24 and 105,783.74

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Solution

The fourth proportional to 319,054.94, 478,463.24 and 105,783.74 is: 158,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,054.94 : 478,463.24 = 105,783.74 : x
  2. Step 2: Convert to fraction form
    319,054.94/478,463.24 = 105,783.74/x
  3. Step 3: Cross multiply
    319,054.94x = 478,463.24 × 105,783.74
  4. Step 4: Simplify right side
    319,054.94x = 50,613,630,979.72
  5. Step 5: Solve for x
    x = 50,613,630,979.72/319,054.94
  6. Step 6: Final answer
    x = 158,636.10

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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.