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Finding the Fourth Proportional to 477,905.64, 716,962.14 and 145,473

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Solution

The fourth proportional to 477,905.64, 716,962.14 and 145,473 is: 218,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,905.64 : 716,962.14 = 145,473 : x
  2. Step 2: Convert to fraction form
    477,905.64/716,962.14 = 145,473/x
  3. Step 3: Cross multiply
    477,905.64x = 716,962.14 × 145,473
  4. Step 4: Simplify right side
    477,905.64x = 104,298,633,392.22
  5. Step 5: Solve for x
    x = 104,298,633,392.22/477,905.64
  6. Step 6: Final answer
    x = 218,241.06

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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.