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Finding the Fourth Proportional to 656,907.17, 906,532.49 and 384,920.91

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Solution

The fourth proportional to 656,907.17, 906,532.49 and 384,920.91 is: 531,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,907.17 : 906,532.49 = 384,920.91 : x
  2. Step 2: Convert to fraction form
    656,907.17/906,532.49 = 384,920.91/x
  3. Step 3: Cross multiply
    656,907.17x = 906,532.49 × 384,920.91
  4. Step 4: Simplify right side
    656,907.17x = 348,943,311,957.67
  5. Step 5: Solve for x
    x = 348,943,311,957.67/656,907.17
  6. Step 6: Final answer
    x = 531,191.21

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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.