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Finding the Fourth Proportional to 524,338, 786,509.88 and 130,354

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Solution

The fourth proportional to 524,338, 786,509.88 and 130,354 is: 195,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,338 : 786,509.88 = 130,354 : x
  2. Step 2: Convert to fraction form
    524,338/786,509.88 = 130,354/x
  3. Step 3: Cross multiply
    524,338x = 786,509.88 × 130,354
  4. Step 4: Simplify right side
    524,338x = 102,524,708,897.52
  5. Step 5: Solve for x
    x = 102,524,708,897.52/524,338
  6. Step 6: Final answer
    x = 195,531.72

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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.