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Finding the Fourth Proportional to 407,732.45, 611,356.41 and 155,031.42

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Solution

The fourth proportional to 407,732.45, 611,356.41 and 155,031.42 is: 232,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,732.45 : 611,356.41 = 155,031.42 : x
  2. Step 2: Convert to fraction form
    407,732.45/611,356.41 = 155,031.42/x
  3. Step 3: Cross multiply
    407,732.45x = 611,356.41 × 155,031.42
  4. Step 4: Simplify right side
    407,732.45x = 94,779,452,368.40
  5. Step 5: Solve for x
    x = 94,779,452,368.40/407,732.45
  6. Step 6: Final answer
    x = 232,455.02

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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.