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Finding the Fourth Proportional to 724,257, 999,474.66 and 406,305

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Solution

The fourth proportional to 724,257, 999,474.66 and 406,305 is: 560,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,257 : 999,474.66 = 406,305 : x
  2. Step 2: Convert to fraction form
    724,257/999,474.66 = 406,305/x
  3. Step 3: Cross multiply
    724,257x = 999,474.66 × 406,305
  4. Step 4: Simplify right side
    724,257x = 406,091,551,731.30
  5. Step 5: Solve for x
    x = 406,091,551,731.30/724,257
  6. Step 6: Final answer
    x = 560,700.90

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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.