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Finding the Fourth Proportional to 314,403.46, 433,803 and 178,406.62

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Solution

The fourth proportional to 314,403.46, 433,803 and 178,406.62 is: 246,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,403.46 : 433,803 = 178,406.62 : x
  2. Step 2: Convert to fraction form
    314,403.46/433,803 = 178,406.62/x
  3. Step 3: Cross multiply
    314,403.46x = 433,803 × 178,406.62
  4. Step 4: Simplify right side
    314,403.46x = 77,393,326,975.86
  5. Step 5: Solve for x
    x = 77,393,326,975.86/314,403.46
  6. Step 6: Final answer
    x = 246,159.27

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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.