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Finding the Fourth Proportional to 565,599.08, 780,528.75 and 310,966.40

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Solution

The fourth proportional to 565,599.08, 780,528.75 and 310,966.40 is: 429,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,599.08 : 780,528.75 = 310,966.40 : x
  2. Step 2: Convert to fraction form
    565,599.08/780,528.75 = 310,966.40/x
  3. Step 3: Cross multiply
    565,599.08x = 780,528.75 × 310,966.40
  4. Step 4: Simplify right side
    565,599.08x = 242,718,215,484.00
  5. Step 5: Solve for x
    x = 242,718,215,484.00/565,599.08
  6. Step 6: Final answer
    x = 429,134.74

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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.