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Finding the Fourth Proportional to 653,643.72, 980,522.06 and 180,329.08

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Solution

The fourth proportional to 653,643.72, 980,522.06 and 180,329.08 is: 270,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,643.72 : 980,522.06 = 180,329.08 : x
  2. Step 2: Convert to fraction form
    653,643.72/980,522.06 = 180,329.08/x
  3. Step 3: Cross multiply
    653,643.72x = 980,522.06 × 180,329.08
  4. Step 4: Simplify right side
    653,643.72x = 176,816,638,999.02
  5. Step 5: Solve for x
    x = 176,816,638,999.02/653,643.72
  6. Step 6: Final answer
    x = 270,509.20

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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.