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Finding the Fourth Proportional to 488,448.30, 731,700.45 and 429,998.70

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Solution

The fourth proportional to 488,448.30, 731,700.45 and 429,998.70 is: 644,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,448.30 : 731,700.45 = 429,998.70 : x
  2. Step 2: Convert to fraction form
    488,448.30/731,700.45 = 429,998.70/x
  3. Step 3: Cross multiply
    488,448.30x = 731,700.45 × 429,998.70
  4. Step 4: Simplify right side
    488,448.30x = 314,630,242,289.42
  5. Step 5: Solve for x
    x = 314,630,242,289.42/488,448.30
  6. Step 6: Final answer
    x = 644,142.36

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1.5x scale

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.