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Finding the Fourth Proportional to 715,702.42, 987,671.38 and 409,783.49

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Solution

The fourth proportional to 715,702.42, 987,671.38 and 409,783.49 is: 565,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,702.42 : 987,671.38 = 409,783.49 : x
  2. Step 2: Convert to fraction form
    715,702.42/987,671.38 = 409,783.49/x
  3. Step 3: Cross multiply
    715,702.42x = 987,671.38 × 409,783.49
  4. Step 4: Simplify right side
    715,702.42x = 404,731,425,069.52
  5. Step 5: Solve for x
    x = 404,731,425,069.52/715,702.42
  6. Step 6: Final answer
    x = 565,502.38

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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.