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Finding the Fourth Proportional to 315,271.10, 435,084.60 and 172,039.01

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Solution

The fourth proportional to 315,271.10, 435,084.60 and 172,039.01 is: 237,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,271.10 : 435,084.60 = 172,039.01 : x
  2. Step 2: Convert to fraction form
    315,271.10/435,084.60 = 172,039.01/x
  3. Step 3: Cross multiply
    315,271.10x = 435,084.60 × 172,039.01
  4. Step 4: Simplify right side
    315,271.10x = 74,851,521,674.82
  5. Step 5: Solve for x
    x = 74,851,521,674.82/315,271.10
  6. Step 6: Final answer
    x = 237,419.55

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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.