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Finding the Fourth Proportional to 684,054, 1,026,217.08 and 210,719.16

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Solution

The fourth proportional to 684,054, 1,026,217.08 and 210,719.16 is: 316,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,054 : 1,026,217.08 = 210,719.16 : x
  2. Step 2: Convert to fraction form
    684,054/1,026,217.08 = 210,719.16/x
  3. Step 3: Cross multiply
    684,054x = 1,026,217.08 × 210,719.16
  4. Step 4: Simplify right side
    684,054x = 216,243,601,075.25
  5. Step 5: Solve for x
    x = 216,243,601,075.25/684,054
  6. Step 6: Final answer
    x = 316,120.66

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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.