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Finding the Fourth Proportional to 500,829.82, 691,068.71 and 282,959.00

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Solution

The fourth proportional to 500,829.82, 691,068.71 and 282,959.00 is: 390,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,829.82 : 691,068.71 = 282,959.00 : x
  2. Step 2: Convert to fraction form
    500,829.82/691,068.71 = 282,959.00/x
  3. Step 3: Cross multiply
    500,829.82x = 691,068.71 × 282,959.00
  4. Step 4: Simplify right side
    500,829.82x = 195,544,110,956.45
  5. Step 5: Solve for x
    x = 195,544,110,956.45/500,829.82
  6. Step 6: Final answer
    x = 390,440.23

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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.