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Finding the Fourth Proportional to 712,672.47, 983,503.89 and 406,742.76

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Solution

The fourth proportional to 712,672.47, 983,503.89 and 406,742.76 is: 561,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,672.47 : 983,503.89 = 406,742.76 : x
  2. Step 2: Convert to fraction form
    712,672.47/983,503.89 = 406,742.76/x
  3. Step 3: Cross multiply
    712,672.47x = 983,503.89 × 406,742.76
  4. Step 4: Simplify right side
    712,672.47x = 400,033,086,689.34
  5. Step 5: Solve for x
    x = 400,033,086,689.34/712,672.47
  6. Step 6: Final answer
    x = 561,314.07

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Double scale
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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.