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Finding the Fourth Proportional to 409,671.34, 614,507 and 129,210.46

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Solution

The fourth proportional to 409,671.34, 614,507 and 129,210.46 is: 193,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,671.34 : 614,507 = 129,210.46 : x
  2. Step 2: Convert to fraction form
    409,671.34/614,507 = 129,210.46/x
  3. Step 3: Cross multiply
    409,671.34x = 614,507 × 129,210.46
  4. Step 4: Simplify right side
    409,671.34x = 79,400,732,143.22
  5. Step 5: Solve for x
    x = 79,400,732,143.22/409,671.34
  6. Step 6: Final answer
    x = 193,815.69

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1.5x scale

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.