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Finding the Fourth Proportional to 512,045.92, 767,831.14 and 298,875.39

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Solution

The fourth proportional to 512,045.92, 767,831.14 and 298,875.39 is: 448,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,045.92 : 767,831.14 = 298,875.39 : x
  2. Step 2: Convert to fraction form
    512,045.92/767,831.14 = 298,875.39/x
  3. Step 3: Cross multiply
    512,045.92x = 767,831.14 × 298,875.39
  4. Step 4: Simplify right side
    512,045.92x = 229,485,831,421.65
  5. Step 5: Solve for x
    x = 229,485,831,421.65/512,045.92
  6. Step 6: Final answer
    x = 448,174.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.