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Finding the Fourth Proportional to 649,894.40, 974,841.60 and 460,937.60

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Solution

The fourth proportional to 649,894.40, 974,841.60 and 460,937.60 is: 691,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,894.40 : 974,841.60 = 460,937.60 : x
  2. Step 2: Convert to fraction form
    649,894.40/974,841.60 = 460,937.60/x
  3. Step 3: Cross multiply
    649,894.40x = 974,841.60 × 460,937.60
  4. Step 4: Simplify right side
    649,894.40x = 449,341,147,484.16
  5. Step 5: Solve for x
    x = 449,341,147,484.16/649,894.40
  6. Step 6: Final answer
    x = 691,406.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.