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Finding the Fourth Proportional to 510,438.16, 765,598.92 and 136,490.32

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Solution

The fourth proportional to 510,438.16, 765,598.92 and 136,490.32 is: 204,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,438.16 : 765,598.92 = 136,490.32 : x
  2. Step 2: Convert to fraction form
    510,438.16/765,598.92 = 136,490.32/x
  3. Step 3: Cross multiply
    510,438.16x = 765,598.92 × 136,490.32
  4. Step 4: Simplify right side
    510,438.16x = 104,496,841,582.45
  5. Step 5: Solve for x
    x = 104,496,841,582.45/510,438.16
  6. Step 6: Final answer
    x = 204,719.89

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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.