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Finding the Fourth Proportional to 647,528.20, 893,547.12 and 361,031.20

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Solution

The fourth proportional to 647,528.20, 893,547.12 and 361,031.20 is: 498,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,528.20 : 893,547.12 = 361,031.20 : x
  2. Step 2: Convert to fraction form
    647,528.20/893,547.12 = 361,031.20/x
  3. Step 3: Cross multiply
    647,528.20x = 893,547.12 × 361,031.20
  4. Step 4: Simplify right side
    647,528.20x = 322,598,388,990.14
  5. Step 5: Solve for x
    x = 322,598,388,990.14/647,528.20
  6. Step 6: Final answer
    x = 498,199.75

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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.