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Finding the Fourth Proportional to 653,643.47, 980,521.71 and 180,328.83

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Solution

The fourth proportional to 653,643.47, 980,521.71 and 180,328.83 is: 270,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,643.47 : 980,521.71 = 180,328.83 : x
  2. Step 2: Convert to fraction form
    653,643.47/980,521.71 = 180,328.83/x
  3. Step 3: Cross multiply
    653,643.47x = 980,521.71 × 180,328.83
  4. Step 4: Simplify right side
    653,643.47x = 176,816,333,916.14
  5. Step 5: Solve for x
    x = 176,816,333,916.14/653,643.47
  6. Step 6: Final answer
    x = 270,508.83

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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.