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Finding the Fourth Proportional to 510,020.64, 703,409.76 and 452,701.80

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Solution

The fourth proportional to 510,020.64, 703,409.76 and 452,701.80 is: 624,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,020.64 : 703,409.76 = 452,701.80 : x
  2. Step 2: Convert to fraction form
    510,020.64/703,409.76 = 452,701.80/x
  3. Step 3: Cross multiply
    510,020.64x = 703,409.76 × 452,701.80
  4. Step 4: Simplify right side
    510,020.64x = 318,434,864,489.57
  5. Step 5: Solve for x
    x = 318,434,864,489.57/510,020.64
  6. Step 6: Final answer
    x = 624,356.82

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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.