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Finding the Fourth Proportional to 777,124.47, 1,072,406.62 and 446,034.90

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Solution

The fourth proportional to 777,124.47, 1,072,406.62 and 446,034.90 is: 615,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,124.47 : 1,072,406.62 = 446,034.90 : x
  2. Step 2: Convert to fraction form
    777,124.47/1,072,406.62 = 446,034.90/x
  3. Step 3: Cross multiply
    777,124.47x = 1,072,406.62 × 446,034.90
  4. Step 4: Simplify right side
    777,124.47x = 478,330,779,511.04
  5. Step 5: Solve for x
    x = 478,330,779,511.04/777,124.47
  6. Step 6: Final answer
    x = 615,513.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.