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Finding the Fourth Proportional to 313,269.60, 432,312.40 and 170,029.74

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Solution

The fourth proportional to 313,269.60, 432,312.40 and 170,029.74 is: 234,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,269.60 : 432,312.40 = 170,029.74 : x
  2. Step 2: Convert to fraction form
    313,269.60/432,312.40 = 170,029.74/x
  3. Step 3: Cross multiply
    313,269.60x = 432,312.40 × 170,029.74
  4. Step 4: Simplify right side
    313,269.60x = 73,505,964,970.78
  5. Step 5: Solve for x
    x = 73,505,964,970.78/313,269.60
  6. Step 6: Final answer
    x = 234,641.23

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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.