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Finding the Fourth Proportional to 565,633.94, 780,554.90 and 310,983.18

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Solution

The fourth proportional to 565,633.94, 780,554.90 and 310,983.18 is: 429,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,633.94 : 780,554.90 = 310,983.18 : x
  2. Step 2: Convert to fraction form
    565,633.94/780,554.90 = 310,983.18/x
  3. Step 3: Cross multiply
    565,633.94x = 780,554.90 × 310,983.18
  4. Step 4: Simplify right side
    565,633.94x = 242,739,444,966.58
  5. Step 5: Solve for x
    x = 242,739,444,966.58/565,633.94
  6. Step 6: Final answer
    x = 429,145.83

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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.