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Finding the Fourth Proportional to 390,031.74, 537,723.36 and 309,725.10

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Solution

The fourth proportional to 390,031.74, 537,723.36 and 309,725.10 is: 427,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,031.74 : 537,723.36 = 309,725.10 : x
  2. Step 2: Convert to fraction form
    390,031.74/537,723.36 = 309,725.10/x
  3. Step 3: Cross multiply
    390,031.74x = 537,723.36 × 309,725.10
  4. Step 4: Simplify right side
    390,031.74x = 166,546,421,448.34
  5. Step 5: Solve for x
    x = 166,546,421,448.34/390,031.74
  6. Step 6: Final answer
    x = 427,007.35

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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.