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Finding the Fourth Proportional to 553,055.84, 830,026.68 and 253,677.44

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Solution

The fourth proportional to 553,055.84, 830,026.68 and 253,677.44 is: 380,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,055.84 : 830,026.68 = 253,677.44 : x
  2. Step 2: Convert to fraction form
    553,055.84/830,026.68 = 253,677.44/x
  3. Step 3: Cross multiply
    553,055.84x = 830,026.68 × 253,677.44
  4. Step 4: Simplify right side
    553,055.84x = 210,559,043,314.10
  5. Step 5: Solve for x
    x = 210,559,043,314.10/553,055.84
  6. Step 6: Final answer
    x = 380,719.32

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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.