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Finding the Fourth Proportional to 931,460, 1,285,414.80 and 507,524

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Solution

The fourth proportional to 931,460, 1,285,414.80 and 507,524 is: 700,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,460 : 1,285,414.80 = 507,524 : x
  2. Step 2: Convert to fraction form
    931,460/1,285,414.80 = 507,524/x
  3. Step 3: Cross multiply
    931,460x = 1,285,414.80 × 507,524
  4. Step 4: Simplify right side
    931,460x = 652,378,860,955.20
  5. Step 5: Solve for x
    x = 652,378,860,955.20/931,460
  6. Step 6: Final answer
    x = 700,383.12

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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.