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Finding the Fourth Proportional to 525,678.30, 788,431.17 and 146,624.82

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Solution

The fourth proportional to 525,678.30, 788,431.17 and 146,624.82 is: 219,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,678.30 : 788,431.17 = 146,624.82 : x
  2. Step 2: Convert to fraction form
    525,678.30/788,431.17 = 146,624.82/x
  3. Step 3: Cross multiply
    525,678.30x = 788,431.17 × 146,624.82
  4. Step 4: Simplify right side
    525,678.30x = 115,603,578,383.64
  5. Step 5: Solve for x
    x = 115,603,578,383.64/525,678.30
  6. Step 6: Final answer
    x = 219,913.16

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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.