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Finding the Fourth Proportional to 312,175.06, 430,804.70 and 168,938.18

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Solution

The fourth proportional to 312,175.06, 430,804.70 and 168,938.18 is: 233,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,175.06 : 430,804.70 = 168,938.18 : x
  2. Step 2: Convert to fraction form
    312,175.06/430,804.70 = 168,938.18/x
  3. Step 3: Cross multiply
    312,175.06x = 430,804.70 × 168,938.18
  4. Step 4: Simplify right side
    312,175.06x = 72,779,361,953.45
  5. Step 5: Solve for x
    x = 72,779,361,953.45/312,175.06
  6. Step 6: Final answer
    x = 233,136.38

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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.