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Finding the Fourth Proportional to 715,527.64, 987,424.86 and 409,602.34

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Solution

The fourth proportional to 715,527.64, 987,424.86 and 409,602.34 is: 565,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,527.64 : 987,424.86 = 409,602.34 : x
  2. Step 2: Convert to fraction form
    715,527.64/987,424.86 = 409,602.34/x
  3. Step 3: Cross multiply
    715,527.64x = 987,424.86 × 409,602.34
  4. Step 4: Simplify right side
    715,527.64x = 404,451,533,230.17
  5. Step 5: Solve for x
    x = 404,451,533,230.17/715,527.64
  6. Step 6: Final answer
    x = 565,249.35

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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.