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Finding the Fourth Proportional to 499,146.72, 688,944.93 and 284,413.69

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Solution

The fourth proportional to 499,146.72, 688,944.93 and 284,413.69 is: 392,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,146.72 : 688,944.93 = 284,413.69 : x
  2. Step 2: Convert to fraction form
    499,146.72/688,944.93 = 284,413.69/x
  3. Step 3: Cross multiply
    499,146.72x = 688,944.93 × 284,413.69
  4. Step 4: Simplify right side
    499,146.72x = 195,945,368,326.02
  5. Step 5: Solve for x
    x = 195,945,368,326.02/499,146.72
  6. Step 6: Final answer
    x = 392,560.67

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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.