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Finding the Fourth Proportional to 302,139.66, 453,409.14 and 142,261.32

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Solution

The fourth proportional to 302,139.66, 453,409.14 and 142,261.32 is: 213,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,139.66 : 453,409.14 = 142,261.32 : x
  2. Step 2: Convert to fraction form
    302,139.66/453,409.14 = 142,261.32/x
  3. Step 3: Cross multiply
    302,139.66x = 453,409.14 × 142,261.32
  4. Step 4: Simplify right side
    302,139.66x = 64,502,582,756.46
  5. Step 5: Solve for x
    x = 64,502,582,756.46/302,139.66
  6. Step 6: Final answer
    x = 213,485.98

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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.