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Finding the Fourth Proportional to 647,214.30, 893,159.88 and 360,752.55

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Solution

The fourth proportional to 647,214.30, 893,159.88 and 360,752.55 is: 497,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,214.30 : 893,159.88 = 360,752.55 : x
  2. Step 2: Convert to fraction form
    647,214.30/893,159.88 = 360,752.55/x
  3. Step 3: Cross multiply
    647,214.30x = 893,159.88 × 360,752.55
  4. Step 4: Simplify right side
    647,214.30x = 322,209,704,267.69
  5. Step 5: Solve for x
    x = 322,209,704,267.69/647,214.30
  6. Step 6: Final answer
    x = 497,840.83

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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.