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Finding the Fourth Proportional to 652,539.84, 900,303.17 and 380,415.11

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Solution

The fourth proportional to 652,539.84, 900,303.17 and 380,415.11 is: 524,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,539.84 : 900,303.17 = 380,415.11 : x
  2. Step 2: Convert to fraction form
    652,539.84/900,303.17 = 380,415.11/x
  3. Step 3: Cross multiply
    652,539.84x = 900,303.17 × 380,415.11
  4. Step 4: Simplify right side
    652,539.84x = 342,488,929,448.90
  5. Step 5: Solve for x
    x = 342,488,929,448.90/652,539.84
  6. Step 6: Final answer
    x = 524,855.20

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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.