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Finding the Fourth Proportional to 648,762.68, 973,352.24 and 311,827.77

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Solution

The fourth proportional to 648,762.68, 973,352.24 and 311,827.77 is: 467,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,762.68 : 973,352.24 = 311,827.77 : x
  2. Step 2: Convert to fraction form
    648,762.68/973,352.24 = 311,827.77/x
  3. Step 3: Cross multiply
    648,762.68x = 973,352.24 × 311,827.77
  4. Step 4: Simplify right side
    648,762.68x = 303,518,256,864.57
  5. Step 5: Solve for x
    x = 303,518,256,864.57/648,762.68
  6. Step 6: Final answer
    x = 467,841.74

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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.