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Finding the Fourth Proportional to 509,184.84, 702,697.32 and 282,830.34

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Solution

The fourth proportional to 509,184.84, 702,697.32 and 282,830.34 is: 390,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,184.84 : 702,697.32 = 282,830.34 : x
  2. Step 2: Convert to fraction form
    509,184.84/702,697.32 = 282,830.34/x
  3. Step 3: Cross multiply
    509,184.84x = 702,697.32 × 282,830.34
  4. Step 4: Simplify right side
    509,184.84x = 198,744,121,932.69
  5. Step 5: Solve for x
    x = 198,744,121,932.69/509,184.84
  6. Step 6: Final answer
    x = 390,318.22

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1.5x scale

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.