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Finding the Fourth Proportional to 354,865.40, 532,298.10 and 328,038.20

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Solution

The fourth proportional to 354,865.40, 532,298.10 and 328,038.20 is: 492,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,865.40 : 532,298.10 = 328,038.20 : x
  2. Step 2: Convert to fraction form
    354,865.40/532,298.10 = 328,038.20/x
  3. Step 3: Cross multiply
    354,865.40x = 532,298.10 × 328,038.20
  4. Step 4: Simplify right side
    354,865.40x = 174,614,110,587.42
  5. Step 5: Solve for x
    x = 174,614,110,587.42/354,865.40
  6. Step 6: Final answer
    x = 492,057.30

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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.