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Finding the Fourth Proportional to 510,902.16, 705,066.78 and 284,547.68

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Solution

The fourth proportional to 510,902.16, 705,066.78 and 284,547.68 is: 392,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,902.16 : 705,066.78 = 284,547.68 : x
  2. Step 2: Convert to fraction form
    510,902.16/705,066.78 = 284,547.68/x
  3. Step 3: Cross multiply
    510,902.16x = 705,066.78 × 284,547.68
  4. Step 4: Simplify right side
    510,902.16x = 200,625,116,494.07
  5. Step 5: Solve for x
    x = 200,625,116,494.07/510,902.16
  6. Step 6: Final answer
    x = 392,687.94

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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.