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Finding the Fourth Proportional to 565,192.72, 779,965.32 and 310,543.28

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Solution

The fourth proportional to 565,192.72, 779,965.32 and 310,543.28 is: 428,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,192.72 : 779,965.32 = 310,543.28 : x
  2. Step 2: Convert to fraction form
    565,192.72/779,965.32 = 310,543.28/x
  3. Step 3: Cross multiply
    565,192.72x = 779,965.32 × 310,543.28
  4. Step 4: Simplify right side
    565,192.72x = 242,212,988,759.05
  5. Step 5: Solve for x
    x = 242,212,988,759.05/565,192.72
  6. Step 6: Final answer
    x = 428,549.38

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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.