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Finding the Fourth Proportional to 509,895.30, 765,061.65 and 260,577.30

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Solution

The fourth proportional to 509,895.30, 765,061.65 and 260,577.30 is: 390,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,895.30 : 765,061.65 = 260,577.30 : x
  2. Step 2: Convert to fraction form
    509,895.30/765,061.65 = 260,577.30/x
  3. Step 3: Cross multiply
    509,895.30x = 765,061.65 × 260,577.30
  4. Step 4: Simplify right side
    509,895.30x = 199,357,699,090.55
  5. Step 5: Solve for x
    x = 199,357,699,090.55/509,895.30
  6. Step 6: Final answer
    x = 390,977.71

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1.5x scale

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.