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Finding the Fourth Proportional to 686,643.98, 947,666.74 and 380,788.38

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Solution

The fourth proportional to 686,643.98, 947,666.74 and 380,788.38 is: 525,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,643.98 : 947,666.74 = 380,788.38 : x
  2. Step 2: Convert to fraction form
    686,643.98/947,666.74 = 380,788.38/x
  3. Step 3: Cross multiply
    686,643.98x = 947,666.74 × 380,788.38
  4. Step 4: Simplify right side
    686,643.98x = 360,860,482,704.48
  5. Step 5: Solve for x
    x = 360,860,482,704.48/686,643.98
  6. Step 6: Final answer
    x = 525,542.34

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1.5x scale

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.