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Finding the Fourth Proportional to 409,038.88, 564,320.97 and 408,407.38

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Solution

The fourth proportional to 409,038.88, 564,320.97 and 408,407.38 is: 563,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,038.88 : 564,320.97 = 408,407.38 : x
  2. Step 2: Convert to fraction form
    409,038.88/564,320.97 = 408,407.38/x
  3. Step 3: Cross multiply
    409,038.88x = 564,320.97 × 408,407.38
  4. Step 4: Simplify right side
    409,038.88x = 230,472,848,836.76
  5. Step 5: Solve for x
    x = 230,472,848,836.76/409,038.88
  6. Step 6: Final answer
    x = 563,449.74

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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.