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Finding the Fourth Proportional to 509,477.52, 763,492.08 and 375,302.64

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Solution

The fourth proportional to 509,477.52, 763,492.08 and 375,302.64 is: 562,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,477.52 : 763,492.08 = 375,302.64 : x
  2. Step 2: Convert to fraction form
    509,477.52/763,492.08 = 375,302.64/x
  3. Step 3: Cross multiply
    509,477.52x = 763,492.08 × 375,302.64
  4. Step 4: Simplify right side
    509,477.52x = 286,540,593,243.09
  5. Step 5: Solve for x
    x = 286,540,593,243.09/509,477.52
  6. Step 6: Final answer
    x = 562,420.48

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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.