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Finding the Fourth Proportional to 510,830.59, 704,209.74 and 357,393.40

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Solution

The fourth proportional to 510,830.59, 704,209.74 and 357,393.40 is: 492,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,830.59 : 704,209.74 = 357,393.40 : x
  2. Step 2: Convert to fraction form
    510,830.59/704,209.74 = 357,393.40/x
  3. Step 3: Cross multiply
    510,830.59x = 704,209.74 × 357,393.40
  4. Step 4: Simplify right side
    510,830.59x = 251,679,913,291.72
  5. Step 5: Solve for x
    x = 251,679,913,291.72/510,830.59
  6. Step 6: Final answer
    x = 492,687.63

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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.