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Finding the Fourth Proportional to 472,385.63, 708,090.11 and 219,459.75

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Solution

The fourth proportional to 472,385.63, 708,090.11 and 219,459.75 is: 328,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,385.63 : 708,090.11 = 219,459.75 : x
  2. Step 2: Convert to fraction form
    472,385.63/708,090.11 = 219,459.75/x
  3. Step 3: Cross multiply
    472,385.63x = 708,090.11 × 219,459.75
  4. Step 4: Simplify right side
    472,385.63x = 155,397,278,518.07
  5. Step 5: Solve for x
    x = 155,397,278,518.07/472,385.63
  6. Step 6: Final answer
    x = 328,962.76

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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.