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Finding the Fourth Proportional to 315,761.84, 435,746.19 and 172,518.80

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Solution

The fourth proportional to 315,761.84, 435,746.19 and 172,518.80 is: 238,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,761.84 : 435,746.19 = 172,518.80 : x
  2. Step 2: Convert to fraction form
    315,761.84/435,746.19 = 172,518.80/x
  3. Step 3: Cross multiply
    315,761.84x = 435,746.19 × 172,518.80
  4. Step 4: Simplify right side
    315,761.84x = 75,174,409,803.37
  5. Step 5: Solve for x
    x = 75,174,409,803.37/315,761.84
  6. Step 6: Final answer
    x = 238,073.13

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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.