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Finding the Fourth Proportional to 488,200.40, 732,019.97 and 260,215.17

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Solution

The fourth proportional to 488,200.40, 732,019.97 and 260,215.17 is: 390,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,200.40 : 732,019.97 = 260,215.17 : x
  2. Step 2: Convert to fraction form
    488,200.40/732,019.97 = 260,215.17/x
  3. Step 3: Cross multiply
    488,200.40x = 732,019.97 × 260,215.17
  4. Step 4: Simplify right side
    488,200.40x = 190,482,700,936.95
  5. Step 5: Solve for x
    x = 190,482,700,936.95/488,200.40
  6. Step 6: Final answer
    x = 390,173.18

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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.