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Finding the Fourth Proportional to 406,143, 560,399.54 and 262,883.16

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Solution

The fourth proportional to 406,143, 560,399.54 and 262,883.16 is: 362,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,143 : 560,399.54 = 262,883.16 : x
  2. Step 2: Convert to fraction form
    406,143/560,399.54 = 262,883.16/x
  3. Step 3: Cross multiply
    406,143x = 560,399.54 × 262,883.16
  4. Step 4: Simplify right side
    406,143x = 147,319,601,937.75
  5. Step 5: Solve for x
    x = 147,319,601,937.75/406,143
  6. Step 6: Final answer
    x = 362,728.40

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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.