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Finding the Fourth Proportional to 314,689.84, 434,256.86 and 178,705.82

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Solution

The fourth proportional to 314,689.84, 434,256.86 and 178,705.82 is: 246,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,689.84 : 434,256.86 = 178,705.82 : x
  2. Step 2: Convert to fraction form
    314,689.84/434,256.86 = 178,705.82/x
  3. Step 3: Cross multiply
    314,689.84x = 434,256.86 × 178,705.82
  4. Step 4: Simplify right side
    314,689.84x = 77,604,228,975.10
  5. Step 5: Solve for x
    x = 77,604,228,975.10/314,689.84
  6. Step 6: Final answer
    x = 246,605.45

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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.