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Finding the Fourth Proportional to 469,280.96, 645,209.71 and 417,803.84

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Solution

The fourth proportional to 469,280.96, 645,209.71 and 417,803.84 is: 574,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,280.96 : 645,209.71 = 417,803.84 : x
  2. Step 2: Convert to fraction form
    469,280.96/645,209.71 = 417,803.84/x
  3. Step 3: Cross multiply
    469,280.96x = 645,209.71 × 417,803.84
  4. Step 4: Simplify right side
    469,280.96x = 269,571,094,443.29
  5. Step 5: Solve for x
    x = 269,571,094,443.29/469,280.96
  6. Step 6: Final answer
    x = 574,434.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.