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Finding the Fourth Proportional to 715,702.59, 987,671.63 and 409,783.67

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Solution

The fourth proportional to 715,702.59, 987,671.63 and 409,783.67 is: 565,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,702.59 : 987,671.63 = 409,783.67 : x
  2. Step 2: Convert to fraction form
    715,702.59/987,671.63 = 409,783.67/x
  3. Step 3: Cross multiply
    715,702.59x = 987,671.63 × 409,783.67
  4. Step 4: Simplify right side
    715,702.59x = 404,731,705,296.28
  5. Step 5: Solve for x
    x = 404,731,705,296.28/715,702.59
  6. Step 6: Final answer
    x = 565,502.64

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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.