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Finding the Fourth Proportional to 314,726.87, 434,323.14 and 171,486.94

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Solution

The fourth proportional to 314,726.87, 434,323.14 and 171,486.94 is: 236,652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,726.87 : 434,323.14 = 171,486.94 : x
  2. Step 2: Convert to fraction form
    314,726.87/434,323.14 = 171,486.94/x
  3. Step 3: Cross multiply
    314,726.87x = 434,323.14 × 171,486.94
  4. Step 4: Simplify right side
    314,726.87x = 74,480,746,249.79
  5. Step 5: Solve for x
    x = 74,480,746,249.79/314,726.87
  6. Step 6: Final answer
    x = 236,652.01

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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.