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Finding the Fourth Proportional to 390,539.32, 538,984.85 and 224,973

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Solution

The fourth proportional to 390,539.32, 538,984.85 and 224,973 is: 310,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,539.32 : 538,984.85 = 224,973 : x
  2. Step 2: Convert to fraction form
    390,539.32/538,984.85 = 224,973/x
  3. Step 3: Cross multiply
    390,539.32x = 538,984.85 × 224,973
  4. Step 4: Simplify right side
    390,539.32x = 121,257,039,221.48
  5. Step 5: Solve for x
    x = 121,257,039,221.48/390,539.32
  6. Step 6: Final answer
    x = 310,486.12

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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.