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Finding the Fourth Proportional to 686,816.67, 947,854.80 and 380,920.98

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Solution

The fourth proportional to 686,816.67, 947,854.80 and 380,920.98 is: 525,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,816.67 : 947,854.80 = 380,920.98 : x
  2. Step 2: Convert to fraction form
    686,816.67/947,854.80 = 380,920.98/x
  3. Step 3: Cross multiply
    686,816.67x = 947,854.80 × 380,920.98
  4. Step 4: Simplify right side
    686,816.67x = 361,057,779,313.70
  5. Step 5: Solve for x
    x = 361,057,779,313.70/686,816.67
  6. Step 6: Final answer
    x = 525,697.46

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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.