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Finding the Fourth Proportional to 509,715.84, 764,593.19 and 260,106.24

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Solution

The fourth proportional to 509,715.84, 764,593.19 and 260,106.24 is: 390,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,715.84 : 764,593.19 = 260,106.24 : x
  2. Step 2: Convert to fraction form
    509,715.84/764,593.19 = 260,106.24/x
  3. Step 3: Cross multiply
    509,715.84x = 764,593.19 × 260,106.24
  4. Step 4: Simplify right side
    509,715.84x = 198,875,459,780.51
  5. Step 5: Solve for x
    x = 198,875,459,780.51/509,715.84
  6. Step 6: Final answer
    x = 390,169.28

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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.