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Finding the Fourth Proportional to 369,776.45, 510,281.10 and 208,646.48

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Solution

The fourth proportional to 369,776.45, 510,281.10 and 208,646.48 is: 287,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,776.45 : 510,281.10 = 208,646.48 : x
  2. Step 2: Convert to fraction form
    369,776.45/510,281.10 = 208,646.48/x
  3. Step 3: Cross multiply
    369,776.45x = 510,281.10 × 208,646.48
  4. Step 4: Simplify right side
    369,776.45x = 106,468,355,325.53
  5. Step 5: Solve for x
    x = 106,468,355,325.53/369,776.45
  6. Step 6: Final answer
    x = 287,926.27

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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.