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Finding the Fourth Proportional to 510,643.70, 763,832.15 and 358,830.05

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Solution

The fourth proportional to 510,643.70, 763,832.15 and 358,830.05 is: 536,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,643.70 : 763,832.15 = 358,830.05 : x
  2. Step 2: Convert to fraction form
    510,643.70/763,832.15 = 358,830.05/x
  3. Step 3: Cross multiply
    510,643.70x = 763,832.15 × 358,830.05
  4. Step 4: Simplify right side
    510,643.70x = 274,085,931,382.76
  5. Step 5: Solve for x
    x = 274,085,931,382.76/510,643.70
  6. Step 6: Final answer
    x = 536,745.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.