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Finding the Fourth Proportional to 455,641.18, 683,608.01 and 219,001.02

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Solution

The fourth proportional to 455,641.18, 683,608.01 and 219,001.02 is: 328,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,641.18 : 683,608.01 = 219,001.02 : x
  2. Step 2: Convert to fraction form
    455,641.18/683,608.01 = 219,001.02/x
  3. Step 3: Cross multiply
    455,641.18x = 683,608.01 × 219,001.02
  4. Step 4: Simplify right side
    455,641.18x = 149,710,851,470.17
  5. Step 5: Solve for x
    x = 149,710,851,470.17/455,641.18
  6. Step 6: Final answer
    x = 328,571.82

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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.