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Finding the Fourth Proportional to 651,708.74, 899,386.52 and 361,301.81

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Solution

The fourth proportional to 651,708.74, 899,386.52 and 361,301.81 is: 498,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,708.74 : 899,386.52 = 361,301.81 : x
  2. Step 2: Convert to fraction form
    651,708.74/899,386.52 = 361,301.81/x
  3. Step 3: Cross multiply
    651,708.74x = 899,386.52 × 361,301.81
  4. Step 4: Simplify right side
    651,708.74x = 324,949,971,262.16
  5. Step 5: Solve for x
    x = 324,949,971,262.16/651,708.74
  6. Step 6: Final answer
    x = 498,612.26

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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.