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Finding the Fourth Proportional to 709,741.80, 980,512.02 and 465,307.32

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Solution

The fourth proportional to 709,741.80, 980,512.02 and 465,307.32 is: 642,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,741.80 : 980,512.02 = 465,307.32 : x
  2. Step 2: Convert to fraction form
    709,741.80/980,512.02 = 465,307.32/x
  3. Step 3: Cross multiply
    709,741.80x = 980,512.02 × 465,307.32
  4. Step 4: Simplify right side
    709,741.80x = 456,239,420,253.99
  5. Step 5: Solve for x
    x = 456,239,420,253.99/709,741.80
  6. Step 6: Final answer
    x = 642,824.50

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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.