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Finding the Fourth Proportional to 287,285.88, 431,011.02 and 97,788

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Solution

The fourth proportional to 287,285.88, 431,011.02 and 97,788 is: 146,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,285.88 : 431,011.02 = 97,788 : x
  2. Step 2: Convert to fraction form
    287,285.88/431,011.02 = 97,788/x
  3. Step 3: Cross multiply
    287,285.88x = 431,011.02 × 97,788
  4. Step 4: Simplify right side
    287,285.88x = 42,147,705,623.76
  5. Step 5: Solve for x
    x = 42,147,705,623.76/287,285.88
  6. Step 6: Final answer
    x = 146,709.98

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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.