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Finding the Fourth Proportional to 524,339, 786,511.38 and 130,355

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Solution

The fourth proportional to 524,339, 786,511.38 and 130,355 is: 195,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,339 : 786,511.38 = 130,355 : x
  2. Step 2: Convert to fraction form
    524,339/786,511.38 = 130,355/x
  3. Step 3: Cross multiply
    524,339x = 786,511.38 × 130,355
  4. Step 4: Simplify right side
    524,339x = 102,525,690,939.90
  5. Step 5: Solve for x
    x = 102,525,690,939.90/524,339
  6. Step 6: Final answer
    x = 195,533.22

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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.