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Finding the Fourth Proportional to 472,686.52, 652,309.45 and 257,831.20

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Solution

The fourth proportional to 472,686.52, 652,309.45 and 257,831.20 is: 355,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,686.52 : 652,309.45 = 257,831.20 : x
  2. Step 2: Convert to fraction form
    472,686.52/652,309.45 = 257,831.20/x
  3. Step 3: Cross multiply
    472,686.52x = 652,309.45 × 257,831.20
  4. Step 4: Simplify right side
    472,686.52x = 168,185,728,264.84
  5. Step 5: Solve for x
    x = 168,185,728,264.84/472,686.52
  6. Step 6: Final answer
    x = 355,808.18

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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.