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Finding the Fourth Proportional to 476,656.93, 657,784.29 and 258,864.07

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Solution

The fourth proportional to 476,656.93, 657,784.29 and 258,864.07 is: 357,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,656.93 : 657,784.29 = 258,864.07 : x
  2. Step 2: Convert to fraction form
    476,656.93/657,784.29 = 258,864.07/x
  3. Step 3: Cross multiply
    476,656.93x = 657,784.29 × 258,864.07
  4. Step 4: Simplify right side
    476,656.93x = 170,276,718,491.46
  5. Step 5: Solve for x
    x = 170,276,718,491.46/476,656.93
  6. Step 6: Final answer
    x = 357,231.18

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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.