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Finding the Fourth Proportional to 510,850.12, 705,028.54 and 281,430.92

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Solution

The fourth proportional to 510,850.12, 705,028.54 and 281,430.92 is: 388,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,850.12 : 705,028.54 = 281,430.92 : x
  2. Step 2: Convert to fraction form
    510,850.12/705,028.54 = 281,430.92/x
  3. Step 3: Cross multiply
    510,850.12x = 705,028.54 × 281,430.92
  4. Step 4: Simplify right side
    510,850.12x = 198,416,830,638.46
  5. Step 5: Solve for x
    x = 198,416,830,638.46/510,850.12
  6. Step 6: Final answer
    x = 388,405.18

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Double scale
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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.