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Finding the Fourth Proportional to 477,612.42, 716,392.71 and 145,162.50

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Solution

The fourth proportional to 477,612.42, 716,392.71 and 145,162.50 is: 217,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,612.42 : 716,392.71 = 145,162.50 : x
  2. Step 2: Convert to fraction form
    477,612.42/716,392.71 = 145,162.50/x
  3. Step 3: Cross multiply
    477,612.42x = 716,392.71 × 145,162.50
  4. Step 4: Simplify right side
    477,612.42x = 103,993,356,765.38
  5. Step 5: Solve for x
    x = 103,993,356,765.38/477,612.42
  6. Step 6: Final answer
    x = 217,735.87

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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.