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Finding the Fourth Proportional to 879,732, 1,214,036.64 and 477,324

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Solution

The fourth proportional to 879,732, 1,214,036.64 and 477,324 is: 658,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,732 : 1,214,036.64 = 477,324 : x
  2. Step 2: Convert to fraction form
    879,732/1,214,036.64 = 477,324/x
  3. Step 3: Cross multiply
    879,732x = 1,214,036.64 × 477,324
  4. Step 4: Simplify right side
    879,732x = 579,488,825,151.36
  5. Step 5: Solve for x
    x = 579,488,825,151.36/879,732
  6. Step 6: Final answer
    x = 658,710.64

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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.