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Finding the Fourth Proportional to 340,878.10, 511,312.35 and 153,889.30

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Solution

The fourth proportional to 340,878.10, 511,312.35 and 153,889.30 is: 230,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,878.10 : 511,312.35 = 153,889.30 : x
  2. Step 2: Convert to fraction form
    340,878.10/511,312.35 = 153,889.30/x
  3. Step 3: Cross multiply
    340,878.10x = 511,312.35 × 153,889.30
  4. Step 4: Simplify right side
    340,878.10x = 78,685,499,622.86
  5. Step 5: Solve for x
    x = 78,685,499,622.86/340,878.10
  6. Step 6: Final answer
    x = 230,831.78

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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.