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Finding the Fourth Proportional to 462,404.30, 638,098.36 and 290,412.14

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Solution

The fourth proportional to 462,404.30, 638,098.36 and 290,412.14 is: 400,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,404.30 : 638,098.36 = 290,412.14 : x
  2. Step 2: Convert to fraction form
    462,404.30/638,098.36 = 290,412.14/x
  3. Step 3: Cross multiply
    462,404.30x = 638,098.36 × 290,412.14
  4. Step 4: Simplify right side
    462,404.30x = 185,311,506,341.57
  5. Step 5: Solve for x
    x = 185,311,506,341.57/462,404.30
  6. Step 6: Final answer
    x = 400,756.46

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1.5x scale

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.