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Finding the Fourth Proportional to 510,360,993, 704,301,713.28 and 290,344,419

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Solution

The fourth proportional to 510,360,993, 704,301,713.28 and 290,344,419 is: 400,677,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,360,993 : 704,301,713.28 = 290,344,419 : x
  2. Step 2: Convert to fraction form
    510,360,993/704,301,713.28 = 290,344,419/x
  3. Step 3: Cross multiply
    510,360,993x = 704,301,713.28 × 290,344,419
  4. Step 4: Simplify right side
    510,360,993x = 204,490,071,742,986,176
  5. Step 5: Solve for x
    x = 204,490,071,742,986,176/510,360,993
  6. Step 6: Final answer
    x = 400,677,313.80

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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.