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Finding the Fourth Proportional to 314,831.09, 434,684.72 and 254,666.72

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Solution

The fourth proportional to 314,831.09, 434,684.72 and 254,666.72 is: 351,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,831.09 : 434,684.72 = 254,666.72 : x
  2. Step 2: Convert to fraction form
    314,831.09/434,684.72 = 254,666.72/x
  3. Step 3: Cross multiply
    314,831.09x = 434,684.72 × 254,666.72
  4. Step 4: Simplify right side
    314,831.09x = 110,699,731,876.52
  5. Step 5: Solve for x
    x = 110,699,731,876.52/314,831.09
  6. Step 6: Final answer
    x = 351,616.26

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1.5x scale

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.