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Finding the Fourth Proportional to 553,414.51, 830,039.14 and 154,013.63

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Solution

The fourth proportional to 553,414.51, 830,039.14 and 154,013.63 is: 230,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,414.51 : 830,039.14 = 154,013.63 : x
  2. Step 2: Convert to fraction form
    553,414.51/830,039.14 = 154,013.63/x
  3. Step 3: Cross multiply
    553,414.51x = 830,039.14 × 154,013.63
  4. Step 4: Simplify right side
    553,414.51x = 127,837,340,223.41
  5. Step 5: Solve for x
    x = 127,837,340,223.41/553,414.51
  6. Step 6: Final answer
    x = 230,997.45

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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.