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Finding the Fourth Proportional to 378,501.84, 522,369.36 and 282,842.40

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Solution

The fourth proportional to 378,501.84, 522,369.36 and 282,842.40 is: 390,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,501.84 : 522,369.36 = 282,842.40 : x
  2. Step 2: Convert to fraction form
    378,501.84/522,369.36 = 282,842.40/x
  3. Step 3: Cross multiply
    378,501.84x = 522,369.36 × 282,842.40
  4. Step 4: Simplify right side
    378,501.84x = 147,748,203,468.86
  5. Step 5: Solve for x
    x = 147,748,203,468.86/378,501.84
  6. Step 6: Final answer
    x = 390,350.03

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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.