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Finding the Fourth Proportional to 547,397.66, 755,407.26 and 305,678.26

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Solution

The fourth proportional to 547,397.66, 755,407.26 and 305,678.26 is: 421,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,397.66 : 755,407.26 = 305,678.26 : x
  2. Step 2: Convert to fraction form
    547,397.66/755,407.26 = 305,678.26/x
  3. Step 3: Cross multiply
    547,397.66x = 755,407.26 × 305,678.26
  4. Step 4: Simplify right side
    547,397.66x = 230,911,576,828.17
  5. Step 5: Solve for x
    x = 230,911,576,828.17/547,397.66
  6. Step 6: Final answer
    x = 421,835.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.