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Finding the Fourth Proportional to 477,838.89, 716,862.02 and 145,406.25

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Solution

The fourth proportional to 477,838.89, 716,862.02 and 145,406.25 is: 218,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,838.89 : 716,862.02 = 145,406.25 : x
  2. Step 2: Convert to fraction form
    477,838.89/716,862.02 = 145,406.25/x
  3. Step 3: Cross multiply
    477,838.89x = 716,862.02 × 145,406.25
  4. Step 4: Simplify right side
    477,838.89x = 104,236,217,368.59
  5. Step 5: Solve for x
    x = 104,236,217,368.59/477,838.89
  6. Step 6: Final answer
    x = 218,140.92

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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.