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Finding the Fourth Proportional to 510,322.59, 704,125.01 and 428,960.10

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Solution

The fourth proportional to 510,322.59, 704,125.01 and 428,960.10 is: 591,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,322.59 : 704,125.01 = 428,960.10 : x
  2. Step 2: Convert to fraction form
    510,322.59/704,125.01 = 428,960.10/x
  3. Step 3: Cross multiply
    510,322.59x = 704,125.01 × 428,960.10
  4. Step 4: Simplify right side
    510,322.59x = 302,041,532,557.30
  5. Step 5: Solve for x
    x = 302,041,532,557.30/510,322.59
  6. Step 6: Final answer
    x = 591,863.93

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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.