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Finding the Fourth Proportional to 288,702.07, 398,424.02 and 174,017.16

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Solution

The fourth proportional to 288,702.07, 398,424.02 and 174,017.16 is: 240,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702.07 : 398,424.02 = 174,017.16 : x
  2. Step 2: Convert to fraction form
    288,702.07/398,424.02 = 174,017.16/x
  3. Step 3: Cross multiply
    288,702.07x = 398,424.02 × 174,017.16
  4. Step 4: Simplify right side
    288,702.07x = 69,332,615,566.10
  5. Step 5: Solve for x
    x = 69,332,615,566.10/288,702.07
  6. Step 6: Final answer
    x = 240,152.82

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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.