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Finding the Fourth Proportional to 312,931.16, 469,347.12 and 99,671.40

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Solution

The fourth proportional to 312,931.16, 469,347.12 and 99,671.40 is: 149,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,931.16 : 469,347.12 = 99,671.40 : x
  2. Step 2: Convert to fraction form
    312,931.16/469,347.12 = 99,671.40/x
  3. Step 3: Cross multiply
    312,931.16x = 469,347.12 × 99,671.40
  4. Step 4: Simplify right side
    312,931.16x = 46,780,484,536.37
  5. Step 5: Solve for x
    x = 46,780,484,536.37/312,931.16
  6. Step 6: Final answer
    x = 149,491.30

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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.