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Finding the Fourth Proportional to 515,507.90, 711,382.21 and 286,075.20

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Solution

The fourth proportional to 515,507.90, 711,382.21 and 286,075.20 is: 394,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,507.90 : 711,382.21 = 286,075.20 : x
  2. Step 2: Convert to fraction form
    515,507.90/711,382.21 = 286,075.20/x
  3. Step 3: Cross multiply
    515,507.90x = 711,382.21 × 286,075.20
  4. Step 4: Simplify right side
    515,507.90x = 203,508,808,002.19
  5. Step 5: Solve for x
    x = 203,508,808,002.19/515,507.90
  6. Step 6: Final answer
    x = 394,773.40

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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.