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Finding the Fourth Proportional to 647,798.85, 893,965.50 and 357,410.40

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Solution

The fourth proportional to 647,798.85, 893,965.50 and 357,410.40 is: 493,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,798.85 : 893,965.50 = 357,410.40 : x
  2. Step 2: Convert to fraction form
    647,798.85/893,965.50 = 357,410.40/x
  3. Step 3: Cross multiply
    647,798.85x = 893,965.50 × 357,410.40
  4. Step 4: Simplify right side
    647,798.85x = 319,512,566,941.20
  5. Step 5: Solve for x
    x = 319,512,566,941.20/647,798.85
  6. Step 6: Final answer
    x = 493,228.06

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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.