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Finding the Fourth Proportional to 513,784.62, 709,008.19 and 284,351.51

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Solution

The fourth proportional to 513,784.62, 709,008.19 and 284,351.51 is: 392,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,784.62 : 709,008.19 = 284,351.51 : x
  2. Step 2: Convert to fraction form
    513,784.62/709,008.19 = 284,351.51/x
  3. Step 3: Cross multiply
    513,784.62x = 709,008.19 × 284,351.51
  4. Step 4: Simplify right side
    513,784.62x = 201,607,550,490.51
  5. Step 5: Solve for x
    x = 201,607,550,490.51/513,784.62
  6. Step 6: Final answer
    x = 392,397.01

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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.