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Finding the Fourth Proportional to 477,863.64, 716,899.14 and 145,431

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Solution

The fourth proportional to 477,863.64, 716,899.14 and 145,431 is: 218,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,863.64 : 716,899.14 = 145,431 : x
  2. Step 2: Convert to fraction form
    477,863.64/716,899.14 = 145,431/x
  3. Step 3: Cross multiply
    477,863.64x = 716,899.14 × 145,431
  4. Step 4: Simplify right side
    477,863.64x = 104,259,358,829.34
  5. Step 5: Solve for x
    x = 104,259,358,829.34/477,863.64
  6. Step 6: Final answer
    x = 218,178.05

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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.