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Finding the Fourth Proportional to 315,058.40, 472,616.40 and 128,031.20

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Solution

The fourth proportional to 315,058.40, 472,616.40 and 128,031.20 is: 192,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,058.40 : 472,616.40 = 128,031.20 : x
  2. Step 2: Convert to fraction form
    315,058.40/472,616.40 = 128,031.20/x
  3. Step 3: Cross multiply
    315,058.40x = 472,616.40 × 128,031.20
  4. Step 4: Simplify right side
    315,058.40x = 60,509,644,831.68
  5. Step 5: Solve for x
    x = 60,509,644,831.68/315,058.40
  6. Step 6: Final answer
    x = 192,058.50

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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.