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Finding the Fourth Proportional to 514,999.38, 770,397.93 and 415,272.18

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Solution

The fourth proportional to 514,999.38, 770,397.93 and 415,272.18 is: 621,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,999.38 : 770,397.93 = 415,272.18 : x
  2. Step 2: Convert to fraction form
    514,999.38/770,397.93 = 415,272.18/x
  3. Step 3: Cross multiply
    514,999.38x = 770,397.93 × 415,272.18
  4. Step 4: Simplify right side
    514,999.38x = 319,924,827,858.59
  5. Step 5: Solve for x
    x = 319,924,827,858.59/514,999.38
  6. Step 6: Final answer
    x = 621,214.01

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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.