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Finding the Fourth Proportional to 645,471.66, 890,782.44 and 358,985.61

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Solution

The fourth proportional to 645,471.66, 890,782.44 and 358,985.61 is: 495,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,471.66 : 890,782.44 = 358,985.61 : x
  2. Step 2: Convert to fraction form
    645,471.66/890,782.44 = 358,985.61/x
  3. Step 3: Cross multiply
    645,471.66x = 890,782.44 × 358,985.61
  4. Step 4: Simplify right side
    645,471.66x = 319,778,077,600.69
  5. Step 5: Solve for x
    x = 319,778,077,600.69/645,471.66
  6. Step 6: Final answer
    x = 495,417.69

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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.