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Finding the Fourth Proportional to 717,322.72, 989,908.32 and 411,410.92

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Solution

The fourth proportional to 717,322.72, 989,908.32 and 411,410.92 is: 567,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,322.72 : 989,908.32 = 411,410.92 : x
  2. Step 2: Convert to fraction form
    717,322.72/989,908.32 = 411,410.92/x
  3. Step 3: Cross multiply
    717,322.72x = 989,908.32 × 411,410.92
  4. Step 4: Simplify right side
    717,322.72x = 407,259,092,646.85
  5. Step 5: Solve for x
    x = 407,259,092,646.85/717,322.72
  6. Step 6: Final answer
    x = 567,748.77

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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.