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Finding the Fourth Proportional to 417,018.51, 575,055.86 and 356,788.53

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Solution

The fourth proportional to 417,018.51, 575,055.86 and 356,788.53 is: 492,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,018.51 : 575,055.86 = 356,788.53 : x
  2. Step 2: Convert to fraction form
    417,018.51/575,055.86 = 356,788.53/x
  3. Step 3: Cross multiply
    417,018.51x = 575,055.86 × 356,788.53
  4. Step 4: Simplify right side
    417,018.51x = 205,173,333,173.34
  5. Step 5: Solve for x
    x = 205,173,333,173.34/417,018.51
  6. Step 6: Final answer
    x = 492,000.54

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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.