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Finding the Fourth Proportional to 477,709.83, 716,688.69 and 140,762.40

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Solution

The fourth proportional to 477,709.83, 716,688.69 and 140,762.40 is: 211,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,709.83 : 716,688.69 = 140,762.40 : x
  2. Step 2: Convert to fraction form
    477,709.83/716,688.69 = 140,762.40/x
  3. Step 3: Cross multiply
    477,709.83x = 716,688.69 × 140,762.40
  4. Step 4: Simplify right side
    477,709.83x = 100,882,820,057.26
  5. Step 5: Solve for x
    x = 100,882,820,057.26/477,709.83
  6. Step 6: Final answer
    x = 211,180.12

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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.