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Finding the Fourth Proportional to 305,534.80, 421,688.74 and 178,210.40

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Solution

The fourth proportional to 305,534.80, 421,688.74 and 178,210.40 is: 245,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,534.80 : 421,688.74 = 178,210.40 : x
  2. Step 2: Convert to fraction form
    305,534.80/421,688.74 = 178,210.40/x
  3. Step 3: Cross multiply
    305,534.80x = 421,688.74 × 178,210.40
  4. Step 4: Simplify right side
    305,534.80x = 75,149,319,030.90
  5. Step 5: Solve for x
    x = 75,149,319,030.90/305,534.80
  6. Step 6: Final answer
    x = 245,959.93

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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.