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Finding the Fourth Proportional to 429,740.73, 643,999.80 and 316,530.69

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Solution

The fourth proportional to 429,740.73, 643,999.80 and 316,530.69 is: 474,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,740.73 : 643,999.80 = 316,530.69 : x
  2. Step 2: Convert to fraction form
    429,740.73/643,999.80 = 316,530.69/x
  3. Step 3: Cross multiply
    429,740.73x = 643,999.80 × 316,530.69
  4. Step 4: Simplify right side
    429,740.73x = 203,845,701,053.86
  5. Step 5: Solve for x
    x = 203,845,701,053.86/429,740.73
  6. Step 6: Final answer
    x = 474,345.78

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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.