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Finding the Fourth Proportional to 510,646.75, 765,970.31 and 509,908.84

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Solution

The fourth proportional to 510,646.75, 765,970.31 and 509,908.84 is: 764,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,646.75 : 765,970.31 = 509,908.84 : x
  2. Step 2: Convert to fraction form
    510,646.75/765,970.31 = 509,908.84/x
  3. Step 3: Cross multiply
    510,646.75x = 765,970.31 × 509,908.84
  4. Step 4: Simplify right side
    510,646.75x = 390,575,031,606.39
  5. Step 5: Solve for x
    x = 390,575,031,606.39/510,646.75
  6. Step 6: Final answer
    x = 764,863.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.