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Finding the Fourth Proportional to 314,774.72, 434,378.08 and 171,531.84

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Solution

The fourth proportional to 314,774.72, 434,378.08 and 171,531.84 is: 236,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,774.72 : 434,378.08 = 171,531.84 : x
  2. Step 2: Convert to fraction form
    314,774.72/434,378.08 = 171,531.84/x
  3. Step 3: Cross multiply
    314,774.72x = 434,378.08 × 171,531.84
  4. Step 4: Simplify right side
    314,774.72x = 74,509,671,318.07
  5. Step 5: Solve for x
    x = 74,509,671,318.07/314,774.72
  6. Step 6: Final answer
    x = 236,707.93

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1.5x scale

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.