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Finding the Fourth Proportional to 590,659.16, 816,175.86 and 420,598.04

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Solution

The fourth proportional to 590,659.16, 816,175.86 and 420,598.04 is: 581,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,659.16 : 816,175.86 = 420,598.04 : x
  2. Step 2: Convert to fraction form
    590,659.16/816,175.86 = 420,598.04/x
  3. Step 3: Cross multiply
    590,659.16x = 816,175.86 × 420,598.04
  4. Step 4: Simplify right side
    590,659.16x = 343,281,967,011.31
  5. Step 5: Solve for x
    x = 343,281,967,011.31/590,659.16
  6. Step 6: Final answer
    x = 581,184.53

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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.