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Finding the Fourth Proportional to 292,516, 438,774 and 70,900

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Solution

The fourth proportional to 292,516, 438,774 and 70,900 is: 106,350

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,516 : 438,774 = 70,900 : x
  2. Step 2: Convert to fraction form
    292,516/438,774 = 70,900/x
  3. Step 3: Cross multiply
    292,516x = 438,774 × 70,900
  4. Step 4: Simplify right side
    292,516x = 31,109,076,600
  5. Step 5: Solve for x
    x = 31,109,076,600/292,516
  6. Step 6: Final answer
    x = 106,350

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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.