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Finding the Fourth Proportional to 302,417.84, 417,162.78 and 189,043.76

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Solution

The fourth proportional to 302,417.84, 417,162.78 and 189,043.76 is: 260,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,417.84 : 417,162.78 = 189,043.76 : x
  2. Step 2: Convert to fraction form
    302,417.84/417,162.78 = 189,043.76/x
  3. Step 3: Cross multiply
    302,417.84x = 417,162.78 × 189,043.76
  4. Step 4: Simplify right side
    302,417.84x = 78,862,020,463.25
  5. Step 5: Solve for x
    x = 78,862,020,463.25/302,417.84
  6. Step 6: Final answer
    x = 260,771.72

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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.