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Finding the Fourth Proportional to 429,693.15, 643,321.77 and 357,062.88

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Solution

The fourth proportional to 429,693.15, 643,321.77 and 357,062.88 is: 534,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,693.15 : 643,321.77 = 357,062.88 : x
  2. Step 2: Convert to fraction form
    429,693.15/643,321.77 = 357,062.88/x
  3. Step 3: Cross multiply
    429,693.15x = 643,321.77 × 357,062.88
  4. Step 4: Simplify right side
    429,693.15x = 229,706,323,962.90
  5. Step 5: Solve for x
    x = 229,706,323,962.90/429,693.15
  6. Step 6: Final answer
    x = 534,582.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.