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Finding the Fourth Proportional to 477,966.30, 716,949.45 and 418,868.70

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Solution

The fourth proportional to 477,966.30, 716,949.45 and 418,868.70 is: 628,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,966.30 : 716,949.45 = 418,868.70 : x
  2. Step 2: Convert to fraction form
    477,966.30/716,949.45 = 418,868.70/x
  3. Step 3: Cross multiply
    477,966.30x = 716,949.45 × 418,868.70
  4. Step 4: Simplify right side
    477,966.30x = 300,307,684,087.22
  5. Step 5: Solve for x
    x = 300,307,684,087.22/477,966.30
  6. Step 6: Final answer
    x = 628,303.05

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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.