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Finding the Fourth Proportional to 468,774.81, 646,484.04 and 307,568.61

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Solution

The fourth proportional to 468,774.81, 646,484.04 and 307,568.61 is: 424,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,774.81 : 646,484.04 = 307,568.61 : x
  2. Step 2: Convert to fraction form
    468,774.81/646,484.04 = 307,568.61/x
  3. Step 3: Cross multiply
    468,774.81x = 646,484.04 × 307,568.61
  4. Step 4: Simplify right side
    468,774.81x = 198,838,197,569.98
  5. Step 5: Solve for x
    x = 198,838,197,569.98/468,774.81
  6. Step 6: Final answer
    x = 424,165.70

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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.