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Finding the Fourth Proportional to 557,187.81, 768,897.60 and 302,533.17

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Solution

The fourth proportional to 557,187.81, 768,897.60 and 302,533.17 is: 417,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,187.81 : 768,897.60 = 302,533.17 : x
  2. Step 2: Convert to fraction form
    557,187.81/768,897.60 = 302,533.17/x
  3. Step 3: Cross multiply
    557,187.81x = 768,897.60 × 302,533.17
  4. Step 4: Simplify right side
    557,187.81x = 232,617,028,333.39
  5. Step 5: Solve for x
    x = 232,617,028,333.39/557,187.81
  6. Step 6: Final answer
    x = 417,484.06

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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.