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Finding the Fourth Proportional to 610,446.88, 842,314.03 and 406,801.82

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Solution

The fourth proportional to 610,446.88, 842,314.03 and 406,801.82 is: 561,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,446.88 : 842,314.03 = 406,801.82 : x
  2. Step 2: Convert to fraction form
    610,446.88/842,314.03 = 406,801.82/x
  3. Step 3: Cross multiply
    610,446.88x = 842,314.03 × 406,801.82
  4. Step 4: Simplify right side
    610,446.88x = 342,654,880,415.54
  5. Step 5: Solve for x
    x = 342,654,880,415.54/610,446.88
  6. Step 6: Final answer
    x = 561,318.10

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1.5x scale

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.