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Finding the Fourth Proportional to 610,474.95, 842,744.70 and 406,865.25

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Solution

The fourth proportional to 610,474.95, 842,744.70 and 406,865.25 is: 561,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,474.95 : 842,744.70 = 406,865.25 : x
  2. Step 2: Convert to fraction form
    610,474.95/842,744.70 = 406,865.25/x
  3. Step 3: Cross multiply
    610,474.95x = 842,744.70 × 406,865.25
  4. Step 4: Simplify right side
    610,474.95x = 342,883,533,051.68
  5. Step 5: Solve for x
    x = 342,883,533,051.68/610,474.95
  6. Step 6: Final answer
    x = 561,666.84

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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.