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Finding the Fourth Proportional to 443,547.90, 664,337.70 and 343,164.60

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Solution

The fourth proportional to 443,547.90, 664,337.70 and 343,164.60 is: 513,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,547.90 : 664,337.70 = 343,164.60 : x
  2. Step 2: Convert to fraction form
    443,547.90/664,337.70 = 343,164.60/x
  3. Step 3: Cross multiply
    443,547.90x = 664,337.70 × 343,164.60
  4. Step 4: Simplify right side
    443,547.90x = 227,977,181,085.42
  5. Step 5: Solve for x
    x = 227,977,181,085.42/443,547.90
  6. Step 6: Final answer
    x = 513,985.48

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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.