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Finding the Fourth Proportional to 690,345.64, 952,646.34 and 384,437.80

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Solution

The fourth proportional to 690,345.64, 952,646.34 and 384,437.80 is: 530,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,345.64 : 952,646.34 = 384,437.80 : x
  2. Step 2: Convert to fraction form
    690,345.64/952,646.34 = 384,437.80/x
  3. Step 3: Cross multiply
    690,345.64x = 952,646.34 × 384,437.80
  4. Step 4: Simplify right side
    690,345.64x = 366,233,263,127.65
  5. Step 5: Solve for x
    x = 366,233,263,127.65/690,345.64
  6. Step 6: Final answer
    x = 530,507.10

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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.