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Finding the Fourth Proportional to 524,196.40, 786,877.80 and 288,000.40

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Solution

The fourth proportional to 524,196.40, 786,877.80 and 288,000.40 is: 432,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,196.40 : 786,877.80 = 288,000.40 : x
  2. Step 2: Convert to fraction form
    524,196.40/786,877.80 = 288,000.40/x
  3. Step 3: Cross multiply
    524,196.40x = 786,877.80 × 288,000.40
  4. Step 4: Simplify right side
    524,196.40x = 226,621,121,151.12
  5. Step 5: Solve for x
    x = 226,621,121,151.12/524,196.40
  6. Step 6: Final answer
    x = 432,321.02

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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.