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Finding the Fourth Proportional to 712,357.96, 983,044.74 and 406,426.44

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Solution

The fourth proportional to 712,357.96, 983,044.74 and 406,426.44 is: 560,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,357.96 : 983,044.74 = 406,426.44 : x
  2. Step 2: Convert to fraction form
    712,357.96/983,044.74 = 406,426.44/x
  3. Step 3: Cross multiply
    712,357.96x = 983,044.74 × 406,426.44
  4. Step 4: Simplify right side
    712,357.96x = 399,535,374,038.93
  5. Step 5: Solve for x
    x = 399,535,374,038.93/712,357.96
  6. Step 6: Final answer
    x = 560,863.21

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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.