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Finding the Fourth Proportional to 315,312.71, 435,140.71 and 172,081.98

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Solution

The fourth proportional to 315,312.71, 435,140.71 and 172,081.98 is: 237,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,312.71 : 435,140.71 = 172,081.98 : x
  2. Step 2: Convert to fraction form
    315,312.71/435,140.71 = 172,081.98/x
  3. Step 3: Cross multiply
    315,312.71x = 435,140.71 × 172,081.98
  4. Step 4: Simplify right side
    315,312.71x = 74,879,874,525.20
  5. Step 5: Solve for x
    x = 74,879,874,525.20/315,312.71
  6. Step 6: Final answer
    x = 237,478.14

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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.