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Finding the Fourth Proportional to 513,746.40, 770,389.20 and 233,119.20

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Solution

The fourth proportional to 513,746.40, 770,389.20 and 233,119.20 is: 349,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,746.40 : 770,389.20 = 233,119.20 : x
  2. Step 2: Convert to fraction form
    513,746.40/770,389.20 = 233,119.20/x
  3. Step 3: Cross multiply
    513,746.40x = 770,389.20 × 233,119.20
  4. Step 4: Simplify right side
    513,746.40x = 179,592,513,992.64
  5. Step 5: Solve for x
    x = 179,592,513,992.64/513,746.40
  6. Step 6: Final answer
    x = 349,574.25

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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.