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Finding the Fourth Proportional to 314,718.95, 472,275.26 and 127,730.45

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Solution

The fourth proportional to 314,718.95, 472,275.26 and 127,730.45 is: 191,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,718.95 : 472,275.26 = 127,730.45 : x
  2. Step 2: Convert to fraction form
    314,718.95/472,275.26 = 127,730.45/x
  3. Step 3: Cross multiply
    314,718.95x = 472,275.26 × 127,730.45
  4. Step 4: Simplify right side
    314,718.95x = 60,323,930,845.01
  5. Step 5: Solve for x
    x = 60,323,930,845.01/314,718.95
  6. Step 6: Final answer
    x = 191,675.56

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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.