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Finding the Fourth Proportional to 287,740, 431,784.96 and 121,528

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Solution

The fourth proportional to 287,740, 431,784.96 and 121,528 is: 182,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,740 : 431,784.96 = 121,528 : x
  2. Step 2: Convert to fraction form
    287,740/431,784.96 = 121,528/x
  3. Step 3: Cross multiply
    287,740x = 431,784.96 × 121,528
  4. Step 4: Simplify right side
    287,740x = 52,473,962,618.88
  5. Step 5: Solve for x
    x = 52,473,962,618.88/287,740
  6. Step 6: Final answer
    x = 182,365.89

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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.