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Finding the Fourth Proportional to 500,209.51, 690,686.96 and 461,955.09

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Solution

The fourth proportional to 500,209.51, 690,686.96 and 461,955.09 is: 637,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,209.51 : 690,686.96 = 461,955.09 : x
  2. Step 2: Convert to fraction form
    500,209.51/690,686.96 = 461,955.09/x
  3. Step 3: Cross multiply
    500,209.51x = 690,686.96 × 461,955.09
  4. Step 4: Simplify right side
    500,209.51x = 319,066,356,768.63
  5. Step 5: Solve for x
    x = 319,066,356,768.63/500,209.51
  6. Step 6: Final answer
    x = 637,865.44

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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.