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Finding the Fourth Proportional to 553,495.83, 763,722.77 and 311,726.63

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Solution

The fourth proportional to 553,495.83, 763,722.77 and 311,726.63 is: 430,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,495.83 : 763,722.77 = 311,726.63 : x
  2. Step 2: Convert to fraction form
    553,495.83/763,722.77 = 311,726.63/x
  3. Step 3: Cross multiply
    553,495.83x = 763,722.77 × 311,726.63
  4. Step 4: Simplify right side
    553,495.83x = 238,072,719,969.12
  5. Step 5: Solve for x
    x = 238,072,719,969.12/553,495.83
  6. Step 6: Final answer
    x = 430,125.59

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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.