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Finding the Fourth Proportional to 684,046, 1,026,205.08 and 210,711.16

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Solution

The fourth proportional to 684,046, 1,026,205.08 and 210,711.16 is: 316,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,046 : 1,026,205.08 = 210,711.16 : x
  2. Step 2: Convert to fraction form
    684,046/1,026,205.08 = 210,711.16/x
  3. Step 3: Cross multiply
    684,046x = 1,026,205.08 × 210,711.16
  4. Step 4: Simplify right side
    684,046x = 216,232,862,804.69
  5. Step 5: Solve for x
    x = 216,232,862,804.69/684,046
  6. Step 6: Final answer
    x = 316,108.66

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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.