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Finding the Fourth Proportional to 435,564, 653,594.40 and 169,289.82

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Solution

The fourth proportional to 435,564, 653,594.40 and 169,289.82 is: 254,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,564 : 653,594.40 = 169,289.82 : x
  2. Step 2: Convert to fraction form
    435,564/653,594.40 = 169,289.82/x
  3. Step 3: Cross multiply
    435,564x = 653,594.40 × 169,289.82
  4. Step 4: Simplify right side
    435,564x = 110,646,878,329.01
  5. Step 5: Solve for x
    x = 110,646,878,329.01/435,564
  6. Step 6: Final answer
    x = 254,031.28

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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.