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Finding the Fourth Proportional to 477,413, 716,148.30 and 144,991.88

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Solution

The fourth proportional to 477,413, 716,148.30 and 144,991.88 is: 217,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,413 : 716,148.30 = 144,991.88 : x
  2. Step 2: Convert to fraction form
    477,413/716,148.30 = 144,991.88/x
  3. Step 3: Cross multiply
    477,413x = 716,148.30 × 144,991.88
  4. Step 4: Simplify right side
    477,413x = 103,835,688,375.80
  5. Step 5: Solve for x
    x = 103,835,688,375.80/477,413
  6. Step 6: Final answer
    x = 217,496.57

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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.