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Finding the Fourth Proportional to 315,120.86, 470,671.91 and 285,088.79

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Solution

The fourth proportional to 315,120.86, 470,671.91 and 285,088.79 is: 425,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,120.86 : 470,671.91 = 285,088.79 : x
  2. Step 2: Convert to fraction form
    315,120.86/470,671.91 = 285,088.79/x
  3. Step 3: Cross multiply
    315,120.86x = 470,671.91 × 285,088.79
  4. Step 4: Simplify right side
    315,120.86x = 134,183,285,308.89
  5. Step 5: Solve for x
    x = 134,183,285,308.89/315,120.86
  6. Step 6: Final answer
    x = 425,815.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.