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Finding the Fourth Proportional to 719,032, 992,264.16 and 401,080

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Solution

The fourth proportional to 719,032, 992,264.16 and 401,080 is: 553,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,032 : 992,264.16 = 401,080 : x
  2. Step 2: Convert to fraction form
    719,032/992,264.16 = 401,080/x
  3. Step 3: Cross multiply
    719,032x = 992,264.16 × 401,080
  4. Step 4: Simplify right side
    719,032x = 397,977,309,292.80
  5. Step 5: Solve for x
    x = 397,977,309,292.80/719,032
  6. Step 6: Final answer
    x = 553,490.40

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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.