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Finding the Fourth Proportional to 510,192.54, 705,036.72 and 382,646.70

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Solution

The fourth proportional to 510,192.54, 705,036.72 and 382,646.70 is: 528,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,192.54 : 705,036.72 = 382,646.70 : x
  2. Step 2: Convert to fraction form
    510,192.54/705,036.72 = 382,646.70/x
  3. Step 3: Cross multiply
    510,192.54x = 705,036.72 × 382,646.70
  4. Step 4: Simplify right side
    510,192.54x = 269,779,974,286.82
  5. Step 5: Solve for x
    x = 269,779,974,286.82/510,192.54
  6. Step 6: Final answer
    x = 528,780.71

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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.