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Finding the Fourth Proportional to 719,306, 992,642.28 and 401,354

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Solution

The fourth proportional to 719,306, 992,642.28 and 401,354 is: 553,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,306 : 992,642.28 = 401,354 : x
  2. Step 2: Convert to fraction form
    719,306/992,642.28 = 401,354/x
  3. Step 3: Cross multiply
    719,306x = 992,642.28 × 401,354
  4. Step 4: Simplify right side
    719,306x = 398,400,949,647.12
  5. Step 5: Solve for x
    x = 398,400,949,647.12/719,306
  6. Step 6: Final answer
    x = 553,868.52

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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.