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Finding the Fourth Proportional to 477,909.64, 716,968.14 and 145,477

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Solution

The fourth proportional to 477,909.64, 716,968.14 and 145,477 is: 218,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,909.64 : 716,968.14 = 145,477 : x
  2. Step 2: Convert to fraction form
    477,909.64/716,968.14 = 145,477/x
  3. Step 3: Cross multiply
    477,909.64x = 716,968.14 × 145,477
  4. Step 4: Simplify right side
    477,909.64x = 104,302,374,102.78
  5. Step 5: Solve for x
    x = 104,302,374,102.78/477,909.64
  6. Step 6: Final answer
    x = 218,247.06

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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.