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Finding the Fourth Proportional to 346,960, 478,804.80 and 187,984

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Solution

The fourth proportional to 346,960, 478,804.80 and 187,984 is: 259,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,960 : 478,804.80 = 187,984 : x
  2. Step 2: Convert to fraction form
    346,960/478,804.80 = 187,984/x
  3. Step 3: Cross multiply
    346,960x = 478,804.80 × 187,984
  4. Step 4: Simplify right side
    346,960x = 90,007,641,523.20
  5. Step 5: Solve for x
    x = 90,007,641,523.20/346,960
  6. Step 6: Final answer
    x = 259,417.92

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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.