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Finding the Fourth Proportional to 228,386.47, 342,602.73 and 78,607.09

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Solution

The fourth proportional to 228,386.47, 342,602.73 and 78,607.09 is: 117,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,386.47 : 342,602.73 = 78,607.09 : x
  2. Step 2: Convert to fraction form
    228,386.47/342,602.73 = 78,607.09/x
  3. Step 3: Cross multiply
    228,386.47x = 342,602.73 × 78,607.09
  4. Step 4: Simplify right side
    228,386.47x = 26,931,003,631.36
  5. Step 5: Solve for x
    x = 26,931,003,631.36/228,386.47
  6. Step 6: Final answer
    x = 117,918.56

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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.