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Finding the Fourth Proportional to 462,978.73, 697,938.21 and 432,116.40

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Solution

The fourth proportional to 462,978.73, 697,938.21 and 432,116.40 is: 651,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,978.73 : 697,938.21 = 432,116.40 : x
  2. Step 2: Convert to fraction form
    462,978.73/697,938.21 = 432,116.40/x
  3. Step 3: Cross multiply
    462,978.73x = 697,938.21 × 432,116.40
  4. Step 4: Simplify right side
    462,978.73x = 301,590,545,419.01
  5. Step 5: Solve for x
    x = 301,590,545,419.01/462,978.73
  6. Step 6: Final answer
    x = 651,413.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.