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Finding the Fourth Proportional to 660,429, 911,403.36 and 358,623

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Solution

The fourth proportional to 660,429, 911,403.36 and 358,623 is: 494,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,429 : 911,403.36 = 358,623 : x
  2. Step 2: Convert to fraction form
    660,429/911,403.36 = 358,623/x
  3. Step 3: Cross multiply
    660,429x = 911,403.36 × 358,623
  4. Step 4: Simplify right side
    660,429x = 326,850,207,173.28
  5. Step 5: Solve for x
    x = 326,850,207,173.28/660,429
  6. Step 6: Final answer
    x = 494,905.90

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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.