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Finding the Fourth Proportional to 315,312, 435,139.74 and 172,081.20

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Solution

The fourth proportional to 315,312, 435,139.74 and 172,081.20 is: 237,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,312 : 435,139.74 = 172,081.20 : x
  2. Step 2: Convert to fraction form
    315,312/435,139.74 = 172,081.20/x
  3. Step 3: Cross multiply
    315,312x = 435,139.74 × 172,081.20
  4. Step 4: Simplify right side
    315,312x = 74,879,368,626.89
  5. Step 5: Solve for x
    x = 74,879,368,626.89/315,312
  6. Step 6: Final answer
    x = 237,477.07

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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.