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Finding the Fourth Proportional to 641,851.16, 962,978.15 and 385,978.23

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Solution

The fourth proportional to 641,851.16, 962,978.15 and 385,978.23 is: 579,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,851.16 : 962,978.15 = 385,978.23 : x
  2. Step 2: Convert to fraction form
    641,851.16/962,978.15 = 385,978.23/x
  3. Step 3: Cross multiply
    641,851.16x = 962,978.15 × 385,978.23
  4. Step 4: Simplify right side
    641,851.16x = 371,688,602,830.62
  5. Step 5: Solve for x
    x = 371,688,602,830.62/641,851.16
  6. Step 6: Final answer
    x = 579,088.47

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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.