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Finding the Fourth Proportional to 495,924.72, 684,705.66 and 380,998.68

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Solution

The fourth proportional to 495,924.72, 684,705.66 and 380,998.68 is: 526,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,924.72 : 684,705.66 = 380,998.68 : x
  2. Step 2: Convert to fraction form
    495,924.72/684,705.66 = 380,998.68/x
  3. Step 3: Cross multiply
    495,924.72x = 684,705.66 × 380,998.68
  4. Step 4: Simplify right side
    495,924.72x = 260,871,952,648.53
  5. Step 5: Solve for x
    x = 260,871,952,648.53/495,924.72
  6. Step 6: Final answer
    x = 526,031.36

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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.