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Finding the Fourth Proportional to 510,658.13, 765,918.23 and 211,097.16

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Solution

The fourth proportional to 510,658.13, 765,918.23 and 211,097.16 is: 316,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,658.13 : 765,918.23 = 211,097.16 : x
  2. Step 2: Convert to fraction form
    510,658.13/765,918.23 = 211,097.16/x
  3. Step 3: Cross multiply
    510,658.13x = 765,918.23 × 211,097.16
  4. Step 4: Simplify right side
    510,658.13x = 161,683,162,089.74
  5. Step 5: Solve for x
    x = 161,683,162,089.74/510,658.13
  6. Step 6: Final answer
    x = 316,617.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.