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Finding the Fourth Proportional to 692,742.63, 956,144.21 and 406,354.98

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Solution

The fourth proportional to 692,742.63, 956,144.21 and 406,354.98 is: 560,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,742.63 : 956,144.21 = 406,354.98 : x
  2. Step 2: Convert to fraction form
    692,742.63/956,144.21 = 406,354.98/x
  3. Step 3: Cross multiply
    692,742.63x = 956,144.21 × 406,354.98
  4. Step 4: Simplify right side
    692,742.63x = 388,533,961,331.67
  5. Step 5: Solve for x
    x = 388,533,961,331.67/692,742.63
  6. Step 6: Final answer
    x = 560,863.36

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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.