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Finding the Fourth Proportional to 312,417.64, 468,529.48 and 112,712

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Solution

The fourth proportional to 312,417.64, 468,529.48 and 112,712 is: 169,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,417.64 : 468,529.48 = 112,712 : x
  2. Step 2: Convert to fraction form
    312,417.64/468,529.48 = 112,712/x
  3. Step 3: Cross multiply
    312,417.64x = 468,529.48 × 112,712
  4. Step 4: Simplify right side
    312,417.64x = 52,808,894,749.76
  5. Step 5: Solve for x
    x = 52,808,894,749.76/312,417.64
  6. Step 6: Final answer
    x = 169,033.01

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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.