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Finding the Fourth Proportional to 397,831.80, 596,358.90 and 355,841.40

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Solution

The fourth proportional to 397,831.80, 596,358.90 and 355,841.40 is: 533,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,831.80 : 596,358.90 = 355,841.40 : x
  2. Step 2: Convert to fraction form
    397,831.80/596,358.90 = 355,841.40/x
  3. Step 3: Cross multiply
    397,831.80x = 596,358.90 × 355,841.40
  4. Step 4: Simplify right side
    397,831.80x = 212,209,185,878.46
  5. Step 5: Solve for x
    x = 212,209,185,878.46/397,831.80
  6. Step 6: Final answer
    x = 533,414.34

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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.