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Finding the Fourth Proportional to 458,801.28, 688,085.04 and 143,290.08

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Solution

The fourth proportional to 458,801.28, 688,085.04 and 143,290.08 is: 214,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,801.28 : 688,085.04 = 143,290.08 : x
  2. Step 2: Convert to fraction form
    458,801.28/688,085.04 = 143,290.08/x
  3. Step 3: Cross multiply
    458,801.28x = 688,085.04 × 143,290.08
  4. Step 4: Simplify right side
    458,801.28x = 98,595,760,428.40
  5. Step 5: Solve for x
    x = 98,595,760,428.40/458,801.28
  6. Step 6: Final answer
    x = 214,898.62

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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.