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Finding the Fourth Proportional to 516,821.64, 713,156.78 and 310,079.06

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Solution

The fourth proportional to 516,821.64, 713,156.78 and 310,079.06 is: 427,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,821.64 : 713,156.78 = 310,079.06 : x
  2. Step 2: Convert to fraction form
    516,821.64/713,156.78 = 310,079.06/x
  3. Step 3: Cross multiply
    516,821.64x = 713,156.78 × 310,079.06
  4. Step 4: Simplify right side
    516,821.64x = 221,134,985,370.32
  5. Step 5: Solve for x
    x = 221,134,985,370.32/516,821.64
  6. Step 6: Final answer
    x = 427,874.86

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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.