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Finding the Fourth Proportional to 477,511.04, 714,499.52 and 288,081.12

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Solution

The fourth proportional to 477,511.04, 714,499.52 and 288,081.12 is: 431,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,511.04 : 714,499.52 = 288,081.12 : x
  2. Step 2: Convert to fraction form
    477,511.04/714,499.52 = 288,081.12/x
  3. Step 3: Cross multiply
    477,511.04x = 714,499.52 × 288,081.12
  4. Step 4: Simplify right side
    477,511.04x = 205,833,821,961.06
  5. Step 5: Solve for x
    x = 205,833,821,961.06/477,511.04
  6. Step 6: Final answer
    x = 431,055.63

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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.