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Finding the Fourth Proportional to 315,275.14, 435,080.82 and 172,038.34

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Solution

The fourth proportional to 315,275.14, 435,080.82 and 172,038.34 is: 237,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,275.14 : 435,080.82 = 172,038.34 : x
  2. Step 2: Convert to fraction form
    315,275.14/435,080.82 = 172,038.34/x
  3. Step 3: Cross multiply
    315,275.14x = 435,080.82 × 172,038.34
  4. Step 4: Simplify right side
    315,275.14x = 74,850,582,038.64
  5. Step 5: Solve for x
    x = 74,850,582,038.64/315,275.14
  6. Step 6: Final answer
    x = 237,413.52

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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.