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Finding the Fourth Proportional to 511,412.02, 706,051.35 and 454,666.66

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Solution

The fourth proportional to 511,412.02, 706,051.35 and 454,666.66 is: 627,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,412.02 : 706,051.35 = 454,666.66 : x
  2. Step 2: Convert to fraction form
    511,412.02/706,051.35 = 454,666.66/x
  3. Step 3: Cross multiply
    511,412.02x = 706,051.35 × 454,666.66
  4. Step 4: Simplify right side
    511,412.02x = 321,018,007,327.86
  5. Step 5: Solve for x
    x = 321,018,007,327.86/511,412.02
  6. Step 6: Final answer
    x = 627,709.16

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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.