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Finding the Fourth Proportional to 519,864.51, 778,708.96 and 418,112.63

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Solution

The fourth proportional to 519,864.51, 778,708.96 and 418,112.63 is: 626,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,864.51 : 778,708.96 = 418,112.63 : x
  2. Step 2: Convert to fraction form
    519,864.51/778,708.96 = 418,112.63/x
  3. Step 3: Cross multiply
    519,864.51x = 778,708.96 × 418,112.63
  4. Step 4: Simplify right side
    519,864.51x = 325,588,051,270.17
  5. Step 5: Solve for x
    x = 325,588,051,270.17/519,864.51
  6. Step 6: Final answer
    x = 626,294.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.