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Finding the Fourth Proportional to 230,978.16, 318,640.23 and 144,894.60

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Solution

The fourth proportional to 230,978.16, 318,640.23 and 144,894.60 is: 199,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,978.16 : 318,640.23 = 144,894.60 : x
  2. Step 2: Convert to fraction form
    230,978.16/318,640.23 = 144,894.60/x
  3. Step 3: Cross multiply
    230,978.16x = 318,640.23 × 144,894.60
  4. Step 4: Simplify right side
    230,978.16x = 46,169,248,669.76
  5. Step 5: Solve for x
    x = 46,169,248,669.76/230,978.16
  6. Step 6: Final answer
    x = 199,885.78

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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.