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Finding the Fourth Proportional to 715,293.16, 987,047.29 and 409,299.40

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Solution

The fourth proportional to 715,293.16, 987,047.29 and 409,299.40 is: 564,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,293.16 : 987,047.29 = 409,299.40 : x
  2. Step 2: Convert to fraction form
    715,293.16/987,047.29 = 409,299.40/x
  3. Step 3: Cross multiply
    715,293.16x = 987,047.29 × 409,299.40
  4. Step 4: Simplify right side
    715,293.16x = 403,997,856,586.89
  5. Step 5: Solve for x
    x = 403,997,856,586.89/715,293.16
  6. Step 6: Final answer
    x = 564,800.40

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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.