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Finding the Fourth Proportional to 518,977.51, 716,066.93 and 315,023.36

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Solution

The fourth proportional to 518,977.51, 716,066.93 and 315,023.36 is: 434,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,977.51 : 716,066.93 = 315,023.36 : x
  2. Step 2: Convert to fraction form
    518,977.51/716,066.93 = 315,023.36/x
  3. Step 3: Cross multiply
    518,977.51x = 716,066.93 × 315,023.36
  4. Step 4: Simplify right side
    518,977.51x = 225,577,807,480.71
  5. Step 5: Solve for x
    x = 225,577,807,480.71/518,977.51
  6. Step 6: Final answer
    x = 434,658.16

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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.