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Finding the Fourth Proportional to 287,739, 431,783.46 and 121,527

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Solution

The fourth proportional to 287,739, 431,783.46 and 121,527 is: 182,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,739 : 431,783.46 = 121,527 : x
  2. Step 2: Convert to fraction form
    287,739/431,783.46 = 121,527/x
  3. Step 3: Cross multiply
    287,739x = 431,783.46 × 121,527
  4. Step 4: Simplify right side
    287,739x = 52,473,348,543.42
  5. Step 5: Solve for x
    x = 52,473,348,543.42/287,739
  6. Step 6: Final answer
    x = 182,364.39

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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.