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Finding the Fourth Proportional to 315,478.51, 472,824.10 and 157,752.07

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Solution

The fourth proportional to 315,478.51, 472,824.10 and 157,752.07 is: 236,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,478.51 : 472,824.10 = 157,752.07 : x
  2. Step 2: Convert to fraction form
    315,478.51/472,824.10 = 157,752.07/x
  3. Step 3: Cross multiply
    315,478.51x = 472,824.10 × 157,752.07
  4. Step 4: Simplify right side
    315,478.51x = 74,588,979,536.02
  5. Step 5: Solve for x
    x = 74,588,979,536.02/315,478.51
  6. Step 6: Final answer
    x = 236,431.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.