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Finding the Fourth Proportional to 305,054.94, 457,592.04 and 105,386.70

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Solution

The fourth proportional to 305,054.94, 457,592.04 and 105,386.70 is: 158,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,054.94 : 457,592.04 = 105,386.70 : x
  2. Step 2: Convert to fraction form
    305,054.94/457,592.04 = 105,386.70/x
  3. Step 3: Cross multiply
    305,054.94x = 457,592.04 × 105,386.70
  4. Step 4: Simplify right side
    305,054.94x = 48,224,115,041.87
  5. Step 5: Solve for x
    x = 48,224,115,041.87/305,054.94
  6. Step 6: Final answer
    x = 158,083.38

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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.