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Finding the Fourth Proportional to 390,440, 538,807.56 and 211,592

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Solution

The fourth proportional to 390,440, 538,807.56 and 211,592 is: 291,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,440 : 538,807.56 = 211,592 : x
  2. Step 2: Convert to fraction form
    390,440/538,807.56 = 211,592/x
  3. Step 3: Cross multiply
    390,440x = 538,807.56 × 211,592
  4. Step 4: Simplify right side
    390,440x = 114,007,369,235.52
  5. Step 5: Solve for x
    x = 114,007,369,235.52/390,440
  6. Step 6: Final answer
    x = 291,997.16

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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.