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Finding the Fourth Proportional to 832,328, 1,148,489.40 and 505,471

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Solution

The fourth proportional to 832,328, 1,148,489.40 and 505,471 is: 697,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,328 : 1,148,489.40 = 505,471 : x
  2. Step 2: Convert to fraction form
    832,328/1,148,489.40 = 505,471/x
  3. Step 3: Cross multiply
    832,328x = 1,148,489.40 × 505,471
  4. Step 4: Simplify right side
    832,328x = 580,528,085,507.40
  5. Step 5: Solve for x
    x = 580,528,085,507.40/832,328
  6. Step 6: Final answer
    x = 697,475.14

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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.