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Finding the Fourth Proportional to 524,114.40, 786,754.80 and 287,918.40

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Solution

The fourth proportional to 524,114.40, 786,754.80 and 287,918.40 is: 432,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,114.40 : 786,754.80 = 287,918.40 : x
  2. Step 2: Convert to fraction form
    524,114.40/786,754.80 = 287,918.40/x
  3. Step 3: Cross multiply
    524,114.40x = 786,754.80 × 287,918.40
  4. Step 4: Simplify right side
    524,114.40x = 226,521,183,208.32
  5. Step 5: Solve for x
    x = 226,521,183,208.32/524,114.40
  6. Step 6: Final answer
    x = 432,197.98

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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.