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Finding the Fourth Proportional to 302,273.50, 417,139.86 and 168,137.50

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Solution

The fourth proportional to 302,273.50, 417,139.86 and 168,137.50 is: 232,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,273.50 : 417,139.86 = 168,137.50 : x
  2. Step 2: Convert to fraction form
    302,273.50/417,139.86 = 168,137.50/x
  3. Step 3: Cross multiply
    302,273.50x = 417,139.86 × 168,137.50
  4. Step 4: Simplify right side
    302,273.50x = 70,136,853,210.75
  5. Step 5: Solve for x
    x = 70,136,853,210.75/302,273.50
  6. Step 6: Final answer
    x = 232,031.10

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1.5x scale

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.