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Finding the Fourth Proportional to 809,854, 1,117,598.61 and 470,344.12

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Solution

The fourth proportional to 809,854, 1,117,598.61 and 470,344.12 is: 649,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,854 : 1,117,598.61 = 470,344.12 : x
  2. Step 2: Convert to fraction form
    809,854/1,117,598.61 = 470,344.12/x
  3. Step 3: Cross multiply
    809,854x = 1,117,598.61 × 470,344.12
  4. Step 4: Simplify right side
    809,854x = 525,655,934,733.67
  5. Step 5: Solve for x
    x = 525,655,934,733.67/809,854
  6. Step 6: Final answer
    x = 649,074.94

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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.