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Finding the Fourth Proportional to 513,915.48, 709,165.14 and 299,018.40

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Solution

The fourth proportional to 513,915.48, 709,165.14 and 299,018.40 is: 412,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,915.48 : 709,165.14 = 299,018.40 : x
  2. Step 2: Convert to fraction form
    513,915.48/709,165.14 = 299,018.40/x
  3. Step 3: Cross multiply
    513,915.48x = 709,165.14 × 299,018.40
  4. Step 4: Simplify right side
    513,915.48x = 212,053,425,498.58
  5. Step 5: Solve for x
    x = 212,053,425,498.58/513,915.48
  6. Step 6: Final answer
    x = 412,623.15

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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.