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Finding the Fourth Proportional to 512,784.10, 767,681.25 and 298,897.66

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Solution

The fourth proportional to 512,784.10, 767,681.25 and 298,897.66 is: 447,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,784.10 : 767,681.25 = 298,897.66 : x
  2. Step 2: Convert to fraction form
    512,784.10/767,681.25 = 298,897.66/x
  3. Step 3: Cross multiply
    512,784.10x = 767,681.25 × 298,897.66
  4. Step 4: Simplify right side
    512,784.10x = 229,458,129,250.88
  5. Step 5: Solve for x
    x = 229,458,129,250.88/512,784.10
  6. Step 6: Final answer
    x = 447,475.13

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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.