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Finding the Fourth Proportional to 510,188.28, 705,030.86 and 382,642.44

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Solution

The fourth proportional to 510,188.28, 705,030.86 and 382,642.44 is: 528,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,188.28 : 705,030.86 = 382,642.44 : x
  2. Step 2: Convert to fraction form
    510,188.28/705,030.86 = 382,642.44/x
  3. Step 3: Cross multiply
    510,188.28x = 705,030.86 × 382,642.44
  4. Step 4: Simplify right side
    510,188.28x = 269,774,728,545.70
  5. Step 5: Solve for x
    x = 269,774,728,545.70/510,188.28
  6. Step 6: Final answer
    x = 528,774.84

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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.