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Finding the Fourth Proportional to 458,875.60, 688,313.40 and 299,443.30

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Solution

The fourth proportional to 458,875.60, 688,313.40 and 299,443.30 is: 449,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,875.60 : 688,313.40 = 299,443.30 : x
  2. Step 2: Convert to fraction form
    458,875.60/688,313.40 = 299,443.30/x
  3. Step 3: Cross multiply
    458,875.60x = 688,313.40 × 299,443.30
  4. Step 4: Simplify right side
    458,875.60x = 206,110,835,930.22
  5. Step 5: Solve for x
    x = 206,110,835,930.22/458,875.60
  6. Step 6: Final answer
    x = 449,164.95

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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.