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Finding the Fourth Proportional to 651,978.10, 977,967.15 and 412,829.65

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Solution

The fourth proportional to 651,978.10, 977,967.15 and 412,829.65 is: 619,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,978.10 : 977,967.15 = 412,829.65 : x
  2. Step 2: Convert to fraction form
    651,978.10/977,967.15 = 412,829.65/x
  3. Step 3: Cross multiply
    651,978.10x = 977,967.15 × 412,829.65
  4. Step 4: Simplify right side
    651,978.10x = 403,733,836,246.00
  5. Step 5: Solve for x
    x = 403,733,836,246.00/651,978.10
  6. Step 6: Final answer
    x = 619,244.48

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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.