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Finding the Fourth Proportional to 312,470.58, 431,235.93 and 176,529.45

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Solution

The fourth proportional to 312,470.58, 431,235.93 and 176,529.45 is: 243,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,470.58 : 431,235.93 = 176,529.45 : x
  2. Step 2: Convert to fraction form
    312,470.58/431,235.93 = 176,529.45/x
  3. Step 3: Cross multiply
    312,470.58x = 431,235.93 × 176,529.45
  4. Step 4: Simplify right side
    312,470.58x = 76,125,841,543.14
  5. Step 5: Solve for x
    x = 76,125,841,543.14/312,470.58
  6. Step 6: Final answer
    x = 243,625.63

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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.