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Finding the Fourth Proportional to 509,328.40, 766,952 and 377,145.04

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Solution

The fourth proportional to 509,328.40, 766,952 and 377,145.04 is: 567,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,328.40 : 766,952 = 377,145.04 : x
  2. Step 2: Convert to fraction form
    509,328.40/766,952 = 377,145.04/x
  3. Step 3: Cross multiply
    509,328.40x = 766,952 × 377,145.04
  4. Step 4: Simplify right side
    509,328.40x = 289,252,142,718.08
  5. Step 5: Solve for x
    x = 289,252,142,718.08/509,328.40
  6. Step 6: Final answer
    x = 567,908.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.