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Finding the Fourth Proportional to 515,810.64, 711,804.80 and 309,195.74

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Solution

The fourth proportional to 515,810.64, 711,804.80 and 309,195.74 is: 426,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,810.64 : 711,804.80 = 309,195.74 : x
  2. Step 2: Convert to fraction form
    515,810.64/711,804.80 = 309,195.74/x
  3. Step 3: Cross multiply
    515,810.64x = 711,804.80 × 309,195.74
  4. Step 4: Simplify right side
    515,810.64x = 220,087,011,871.55
  5. Step 5: Solve for x
    x = 220,087,011,871.55/515,810.64
  6. Step 6: Final answer
    x = 426,681.80

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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.