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Finding the Fourth Proportional to 282,792.78, 390,256.58 and 153,731.51

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Solution

The fourth proportional to 282,792.78, 390,256.58 and 153,731.51 is: 212,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,792.78 : 390,256.58 = 153,731.51 : x
  2. Step 2: Convert to fraction form
    282,792.78/390,256.58 = 153,731.51/x
  3. Step 3: Cross multiply
    282,792.78x = 390,256.58 × 153,731.51
  4. Step 4: Simplify right side
    282,792.78x = 59,994,731,187.39
  5. Step 5: Solve for x
    x = 59,994,731,187.39/282,792.78
  6. Step 6: Final answer
    x = 212,150.86

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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.