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Finding the Fourth Proportional to 458,903.30, 688,118.59 and 205,966.95

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Solution

The fourth proportional to 458,903.30, 688,118.59 and 205,966.95 is: 308,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,903.30 : 688,118.59 = 205,966.95 : x
  2. Step 2: Convert to fraction form
    458,903.30/688,118.59 = 205,966.95/x
  3. Step 3: Cross multiply
    458,903.30x = 688,118.59 × 205,966.95
  4. Step 4: Simplify right side
    458,903.30x = 141,729,688,768.28
  5. Step 5: Solve for x
    x = 141,729,688,768.28/458,903.30
  6. Step 6: Final answer
    x = 308,844.35

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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.