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Finding the Fourth Proportional to 550,009, 758,436.74 and 407,068.84

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Solution

The fourth proportional to 550,009, 758,436.74 and 407,068.84 is: 561,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,009 : 758,436.74 = 407,068.84 : x
  2. Step 2: Convert to fraction form
    550,009/758,436.74 = 407,068.84/x
  3. Step 3: Cross multiply
    550,009x = 758,436.74 × 407,068.84
  4. Step 4: Simplify right side
    550,009x = 308,735,963,965.18
  5. Step 5: Solve for x
    x = 308,735,963,965.18/550,009
  6. Step 6: Final answer
    x = 561,328.93

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1.5x scale

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.