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Finding the Fourth Proportional to 315,055.76, 470,575.12 and 285,024.08

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Solution

The fourth proportional to 315,055.76, 470,575.12 and 285,024.08 is: 425,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,055.76 : 470,575.12 = 285,024.08 : x
  2. Step 2: Convert to fraction form
    315,055.76/470,575.12 = 285,024.08/x
  3. Step 3: Cross multiply
    315,055.76x = 470,575.12 × 285,024.08
  4. Step 4: Simplify right side
    315,055.76x = 134,125,240,648.89
  5. Step 5: Solve for x
    x = 134,125,240,648.89/315,055.76
  6. Step 6: Final answer
    x = 425,719.06

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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.