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Finding the Fourth Proportional to 346,807.54, 478,645.23 and 203,645.98

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Solution

The fourth proportional to 346,807.54, 478,645.23 and 203,645.98 is: 281,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,807.54 : 478,645.23 = 203,645.98 : x
  2. Step 2: Convert to fraction form
    346,807.54/478,645.23 = 203,645.98/x
  3. Step 3: Cross multiply
    346,807.54x = 478,645.23 × 203,645.98
  4. Step 4: Simplify right side
    346,807.54x = 97,474,176,935.68
  5. Step 5: Solve for x
    x = 97,474,176,935.68/346,807.54
  6. Step 6: Final answer
    x = 281,061.30

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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.