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Finding the Fourth Proportional to 632,943.28, 873,462 and 346,465

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Solution

The fourth proportional to 632,943.28, 873,462 and 346,465 is: 478,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,943.28 : 873,462 = 346,465 : x
  2. Step 2: Convert to fraction form
    632,943.28/873,462 = 346,465/x
  3. Step 3: Cross multiply
    632,943.28x = 873,462 × 346,465
  4. Step 4: Simplify right side
    632,943.28x = 302,624,011,830
  5. Step 5: Solve for x
    x = 302,624,011,830/632,943.28
  6. Step 6: Final answer
    x = 478,121.85

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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.