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Finding the Fourth Proportional to 476,287.81, 657,253.18 and 282,703.97

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Solution

The fourth proportional to 476,287.81, 657,253.18 and 282,703.97 is: 390,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,287.81 : 657,253.18 = 282,703.97 : x
  2. Step 2: Convert to fraction form
    476,287.81/657,253.18 = 282,703.97/x
  3. Step 3: Cross multiply
    476,287.81x = 657,253.18 × 282,703.97
  4. Step 4: Simplify right side
    476,287.81x = 185,808,085,277.64
  5. Step 5: Solve for x
    x = 185,808,085,277.64/476,287.81
  6. Step 6: Final answer
    x = 390,117.24

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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.