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Finding the Fourth Proportional to 409,206.98, 564,510.05 and 317,938.34

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Solution

The fourth proportional to 409,206.98, 564,510.05 and 317,938.34 is: 438,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,206.98 : 564,510.05 = 317,938.34 : x
  2. Step 2: Convert to fraction form
    409,206.98/564,510.05 = 317,938.34/x
  3. Step 3: Cross multiply
    409,206.98x = 564,510.05 × 317,938.34
  4. Step 4: Simplify right side
    409,206.98x = 179,479,388,530.69
  5. Step 5: Solve for x
    x = 179,479,388,530.69/409,206.98
  6. Step 6: Final answer
    x = 438,602.95

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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.