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Finding the Fourth Proportional to 492,547.78, 738,863.60 and 155,498.28

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Solution

The fourth proportional to 492,547.78, 738,863.60 and 155,498.28 is: 233,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,547.78 : 738,863.60 = 155,498.28 : x
  2. Step 2: Convert to fraction form
    492,547.78/738,863.60 = 155,498.28/x
  3. Step 3: Cross multiply
    492,547.78x = 738,863.60 × 155,498.28
  4. Step 4: Simplify right side
    492,547.78x = 114,892,018,954.61
  5. Step 5: Solve for x
    x = 114,892,018,954.61/492,547.78
  6. Step 6: Final answer
    x = 233,260.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.