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Finding the Fourth Proportional to 228,480.16, 342,654.48 and 78,714.40

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Solution

The fourth proportional to 228,480.16, 342,654.48 and 78,714.40 is: 118,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,480.16 : 342,654.48 = 78,714.40 : x
  2. Step 2: Convert to fraction form
    228,480.16/342,654.48 = 78,714.40/x
  3. Step 3: Cross multiply
    228,480.16x = 342,654.48 × 78,714.40
  4. Step 4: Simplify right side
    228,480.16x = 26,971,841,800.51
  5. Step 5: Solve for x
    x = 26,971,841,800.51/228,480.16
  6. Step 6: Final answer
    x = 118,048.94

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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.