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Finding the Fourth Proportional to 312,315.06, 430,995.76 and 169,074.77

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Solution

The fourth proportional to 312,315.06, 430,995.76 and 169,074.77 is: 233,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,315.06 : 430,995.76 = 169,074.77 : x
  2. Step 2: Convert to fraction form
    312,315.06/430,995.76 = 169,074.77/x
  3. Step 3: Cross multiply
    312,315.06x = 430,995.76 × 169,074.77
  4. Step 4: Simplify right side
    312,315.06x = 72,870,506,415.31
  5. Step 5: Solve for x
    x = 72,870,506,415.31/312,315.06
  6. Step 6: Final answer
    x = 233,323.70

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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.