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Finding the Fourth Proportional to 442,031.10, 664,030.80 and 424,097.70

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Solution

The fourth proportional to 442,031.10, 664,030.80 and 424,097.70 is: 637,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,031.10 : 664,030.80 = 424,097.70 : x
  2. Step 2: Convert to fraction form
    442,031.10/664,030.80 = 424,097.70/x
  3. Step 3: Cross multiply
    442,031.10x = 664,030.80 × 424,097.70
  4. Step 4: Simplify right side
    442,031.10x = 281,613,935,009.16
  5. Step 5: Solve for x
    x = 281,613,935,009.16/442,031.10
  6. Step 6: Final answer
    x = 637,090.77

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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.