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Finding the Fourth Proportional to 291,931, 437,896.50 and 70,315

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Solution

The fourth proportional to 291,931, 437,896.50 and 70,315 is: 105,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,931 : 437,896.50 = 70,315 : x
  2. Step 2: Convert to fraction form
    291,931/437,896.50 = 70,315/x
  3. Step 3: Cross multiply
    291,931x = 437,896.50 × 70,315
  4. Step 4: Simplify right side
    291,931x = 30,790,692,397.50
  5. Step 5: Solve for x
    x = 30,790,692,397.50/291,931
  6. Step 6: Final answer
    x = 105,472.50

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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.