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Finding the Fourth Proportional to 712,631.76, 983,440 and 406,749.44

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Solution

The fourth proportional to 712,631.76, 983,440 and 406,749.44 is: 561,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,631.76 : 983,440 = 406,749.44 : x
  2. Step 2: Convert to fraction form
    712,631.76/983,440 = 406,749.44/x
  3. Step 3: Cross multiply
    712,631.76x = 983,440 × 406,749.44
  4. Step 4: Simplify right side
    712,631.76x = 400,013,669,273.60
  5. Step 5: Solve for x
    x = 400,013,669,273.60/712,631.76
  6. Step 6: Final answer
    x = 561,318.89

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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.