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Finding the Fourth Proportional to 477,877.77, 716,832.18 and 140,890.16

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Solution

The fourth proportional to 477,877.77, 716,832.18 and 140,890.16 is: 211,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,877.77 : 716,832.18 = 140,890.16 : x
  2. Step 2: Convert to fraction form
    477,877.77/716,832.18 = 140,890.16/x
  3. Step 3: Cross multiply
    477,877.77x = 716,832.18 × 140,890.16
  4. Step 4: Simplify right side
    477,877.77x = 100,994,602,325.43
  5. Step 5: Solve for x
    x = 100,994,602,325.43/477,877.77
  6. Step 6: Final answer
    x = 211,339.82

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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.