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Finding the Fourth Proportional to 477,829, 716,743.50 and 145,405

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Solution

The fourth proportional to 477,829, 716,743.50 and 145,405 is: 218,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,829 : 716,743.50 = 145,405 : x
  2. Step 2: Convert to fraction form
    477,829/716,743.50 = 145,405/x
  3. Step 3: Cross multiply
    477,829x = 716,743.50 × 145,405
  4. Step 4: Simplify right side
    477,829x = 104,218,088,617.50
  5. Step 5: Solve for x
    x = 104,218,088,617.50/477,829
  6. Step 6: Final answer
    x = 218,107.50

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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.