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Finding the Fourth Proportional to 315,963.78, 473,946.57 and 91,342.50

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Solution

The fourth proportional to 315,963.78, 473,946.57 and 91,342.50 is: 137,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,963.78 : 473,946.57 = 91,342.50 : x
  2. Step 2: Convert to fraction form
    315,963.78/473,946.57 = 91,342.50/x
  3. Step 3: Cross multiply
    315,963.78x = 473,946.57 × 91,342.50
  4. Step 4: Simplify right side
    315,963.78x = 43,291,464,570.23
  5. Step 5: Solve for x
    x = 43,291,464,570.23/315,963.78
  6. Step 6: Final answer
    x = 137,014.01

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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.