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Finding the Fourth Proportional to 684,799.51, 945,326 and 409,254.57

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Solution

The fourth proportional to 684,799.51, 945,326 and 409,254.57 is: 564,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,799.51 : 945,326 = 409,254.57 : x
  2. Step 2: Convert to fraction form
    684,799.51/945,326 = 409,254.57/x
  3. Step 3: Cross multiply
    684,799.51x = 945,326 × 409,254.57
  4. Step 4: Simplify right side
    684,799.51x = 386,878,985,639.82
  5. Step 5: Solve for x
    x = 386,878,985,639.82/684,799.51
  6. Step 6: Final answer
    x = 564,952.19

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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.