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Finding the Fourth Proportional to 702,910.78, 970,088.49 and 506,838.55

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Solution

The fourth proportional to 702,910.78, 970,088.49 and 506,838.55 is: 699,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,910.78 : 970,088.49 = 506,838.55 : x
  2. Step 2: Convert to fraction form
    702,910.78/970,088.49 = 506,838.55/x
  3. Step 3: Cross multiply
    702,910.78x = 970,088.49 × 506,838.55
  4. Step 4: Simplify right side
    702,910.78x = 491,678,243,643.29
  5. Step 5: Solve for x
    x = 491,678,243,643.29/702,910.78
  6. Step 6: Final answer
    x = 699,488.84

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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.