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Finding the Fourth Proportional to 517,487.85, 714,141.31 and 288,047.63

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Solution

The fourth proportional to 517,487.85, 714,141.31 and 288,047.63 is: 397,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,487.85 : 714,141.31 = 288,047.63 : x
  2. Step 2: Convert to fraction form
    517,487.85/714,141.31 = 288,047.63/x
  3. Step 3: Cross multiply
    517,487.85x = 714,141.31 × 288,047.63
  4. Step 4: Simplify right side
    517,487.85x = 205,706,711,830.60
  5. Step 5: Solve for x
    x = 205,706,711,830.60/517,487.85
  6. Step 6: Final answer
    x = 397,510.23

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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.