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Finding the Fourth Proportional to 489,547.72, 675,718.50 and 319,806.28

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Solution

The fourth proportional to 489,547.72, 675,718.50 and 319,806.28 is: 441,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,547.72 : 675,718.50 = 319,806.28 : x
  2. Step 2: Convert to fraction form
    489,547.72/675,718.50 = 319,806.28/x
  3. Step 3: Cross multiply
    489,547.72x = 675,718.50 × 319,806.28
  4. Step 4: Simplify right side
    489,547.72x = 216,099,019,812.18
  5. Step 5: Solve for x
    x = 216,099,019,812.18/489,547.72
  6. Step 6: Final answer
    x = 441,425.85

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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.