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Finding the Fourth Proportional to 458,866.95, 688,314.00 and 219,006.13

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Solution

The fourth proportional to 458,866.95, 688,314.00 and 219,006.13 is: 328,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,866.95 : 688,314.00 = 219,006.13 : x
  2. Step 2: Convert to fraction form
    458,866.95/688,314.00 = 219,006.13/x
  3. Step 3: Cross multiply
    458,866.95x = 688,314.00 × 219,006.13
  4. Step 4: Simplify right side
    458,866.95x = 150,744,980,828.22
  5. Step 5: Solve for x
    x = 150,744,980,828.22/458,866.95
  6. Step 6: Final answer
    x = 328,515.66

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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.