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Finding the Fourth Proportional to 315,352.14, 435,182.55 and 172,111.02

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Solution

The fourth proportional to 315,352.14, 435,182.55 and 172,111.02 is: 237,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,352.14 : 435,182.55 = 172,111.02 : x
  2. Step 2: Convert to fraction form
    315,352.14/435,182.55 = 172,111.02/x
  3. Step 3: Cross multiply
    315,352.14x = 435,182.55 × 172,111.02
  4. Step 4: Simplify right side
    315,352.14x = 74,899,712,566.70
  5. Step 5: Solve for x
    x = 74,899,712,566.70/315,352.14
  6. Step 6: Final answer
    x = 237,511.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.